38776689802656 has 1152 divisors, whose sum is σ = 128911014715392. Its totient is φ = 10968072192000.

The previous prime is 38776689802621. The next prime is 38776689802663. The reversal of 38776689802656 is 65620898667783.

38776689802656 is a `hidden beast` number, since 387 + 7 + 66 + 89 + 80 + 26 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62847146860 + ... + 62847147476.

It is an arithmetic number, because the mean of its divisors is an integer number (111901922496).

Almost surely, 2^{38776689802656} is an apocalyptic number.

38776689802656 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 38776689802656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64455507357696).

38776689802656 is an abundant number, since it is smaller than the sum of its proper divisors (90134324912736).

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

38776689802656 is a wasteful number, since it uses less digits than its factorization.

38776689802656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 8778792960, while the sum is 81.

The spelling of 38776689802656 in words is "thirty-eight trillion, seven hundred seventy-six billion, six hundred eighty-nine million, eight hundred two thousand, six hundred fifty-six".