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3800655738 = 23211231181311
BaseRepresentation
bin1110001010001001…
…0110011101111010
3100210212121022112100
43202202112131322
530240431440423
61425045124230
7163120016655
oct34242263572
910725538470
103800655738
111680409a00
128a09b9676
13487536a29
14280aa289c
151739ea343
hexe289677a

3800655738 has 144 divisors (see below), whose sum is σ = 9425235456. Its totient is φ = 1104840000.

The previous prime is 3800655731. The next prime is 3800655743. The reversal of 3800655738 is 8375560083.

It is a junction number, because it is equal to n+sod(n) for n = 3800655693 and 3800655702.

It is not an unprimeable number, because it can be changed into a prime (3800655731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12220603 + ... + 12220913.

It is an arithmetic number, because the mean of its divisors is an integer number (65453024).

Almost surely, 23800655738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3800655738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712617728).

3800655738 is an abundant number, since it is smaller than the sum of its proper divisors (5624579718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3800655738 is a wasteful number, since it uses less digits than its factorization.

3800655738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3800655738 is about 61649.4585377682. The cubic root of 3800655738 is about 1560.5805063421.

The spelling of 3800655738 in words is "three billion, eight hundred million, six hundred fifty-five thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 121 181 186 198 242 279 311 341 362 363 543 558 622 682 726 933 1023 1086 1089 1629 1866 1991 2046 2178 2799 3069 3258 3421 3751 3982 5598 5611 5973 6138 6842 7502 9641 10263 11222 11253 11946 16833 17919 19282 20526 21901 22506 28923 30789 33666 33759 35838 37631 43802 50499 56291 57846 61578 61721 65703 67518 75262 86769 100998 106051 112582 112893 123442 131406 168873 173538 185163 197109 212102 225786 318153 337746 338679 370326 394218 506619 555489 619201 636306 677358 678931 954459 1013238 1110978 1166561 1238402 1357862 1745021 1857603 1908918 2036793 2333122 3490042 3499683 3715206 4073586 5235063 5572809 6110379 6811211 6999366 10470126 10499049 11145618 12220758 13622422 15705189 19195231 20433633 20998098 31410378 38390462 40867266 57585693 61300899 115171386 122601798 172757079 211147541 345514158 422295082 633442623 1266885246 1900327869 3800655738