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3788226816 = 283114110937
BaseRepresentation
bin1110000111001011…
…1100000100000000
3100210000012212020220
43201302330010000
530224241224231
61423522503040
7162606253023
oct34162740400
910700185226
103788226816
11167439a970
12898804a80
13484aa473a
1427d1891ba
15172892896
hexe1cbc100

3788226816 has 144 divisors (see below), whose sum is σ = 11268065088. Its totient is φ = 1119846400.

The previous prime is 3788226763. The next prime is 3788226817. The reversal of 3788226816 is 6186228873.

It is a happy number.

It is a super-2 number, since 2×37882268162 = 28701324818922995712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3788226817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340900 + ... + 351836.

It is an arithmetic number, because the mean of its divisors is an integer number (78250452).

Almost surely, 23788226816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3788226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634032544).

3788226816 is an abundant number, since it is smaller than the sum of its proper divisors (7479838272).

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

3788226816 is a wasteful number, since it uses less digits than its factorization.

3788226816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11008 (or 10994 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 3788226816 is about 61548.5728185471. The cubic root of 3788226816 is about 1558.8775094077.

The spelling of 3788226816 in words is "three billion, seven hundred eighty-eight million, two hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 256 264 328 352 384 451 492 528 656 704 768 902 984 1056 1312 1353 1408 1804 1968 2112 2624 2706 2816 3608 3936 4224 5248 5412 7216 7872 8448 10496 10824 10937 14432 15744 21648 21874 28864 31488 32811 43296 43748 57728 65622 86592 87496 115456 120307 131244 173184 174992 240614 262488 346368 349984 360921 448417 481228 524976 699968 721842 896834 962456 1049952 1345251 1399936 1443684 1793668 1924912 2099904 2690502 2799872 2887368 3587336 3849824 4199808 4932587 5381004 5774736 7174672 7699648 8399616 9865174 10762008 11549472 14349344 14797761 15399296 19730348 21524016 23098944 28698688 29595522 30798592 39460696 43048032 46197888 57397376 59191044 78921392 86096064 92395776 114794752 118382088 157842784 172192128 236764176 315685568 344384256 473528352 631371136 947056704 1262742272 1894113408 3788226816