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3800780676 = 22327117191907
BaseRepresentation
bin1110001010001011…
…0100111110000100
3100210212211122220200
43202202310332010
530240444440201
61425051530500
7163121050140
oct34242647604
910725748820
103800780676
111680494860
128a0a59a30
1348757b864
14280ad6220
15173a22386
hexe28b4f84

3800780676 has 144 divisors (see below), whose sum is σ = 12001167360. Its totient is φ = 985325760.

The previous prime is 3800780671. The next prime is 3800780677. The reversal of 3800780676 is 6760870083.

It is not an unprimeable number, because it can be changed into a prime (3800780671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1992115 + ... + 1994021.

It is an arithmetic number, because the mean of its divisors is an integer number (83341440).

Almost surely, 23800780676 is an apocalyptic number.

3800780676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3800780676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000583680).

3800780676 is an abundant number, since it is smaller than the sum of its proper divisors (8200386684).

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

3800780676 is a wasteful number, since it uses less digits than its factorization.

3800780676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3800780676 is about 61650.4718230120. The cubic root of 3800780676 is about 1560.5976063449.

The spelling of 3800780676 in words is "three billion, eight hundred million, seven hundred eighty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 719 924 1386 1438 1907 2157 2772 2876 3814 4314 5033 5721 6471 7628 7909 8628 10066 11442 12942 13349 15099 15818 17163 20132 20977 22884 23727 25884 26698 30198 31636 34326 40047 41954 45297 47454 53396 55363 60396 62931 68652 71181 80094 83908 90594 94908 110726 120141 125862 142362 146839 160188 166089 181188 188793 221452 240282 251724 284724 293678 332178 377586 440517 480564 498267 587356 664356 755172 881034 996534 1321551 1371133 1762068 1993068 2643102 2742266 4113399 5286204 5484532 8226798 9597931 12340197 15082463 16453596 19195862 24680394 28793793 30164926 38391724 45247389 49360788 57587586 60329852 86381379 90494778 105577241 115175172 135742167 172762758 180989556 211154482 271484334 316731723 345525516 422308964 542968668 633463446 950195169 1266926892 1900390338 3800780676