38596622777856 has 1920 divisors, whose sum is σ = 145074595881600. Its totient is φ = 10153301114880.

The previous prime is 38596622777821. The next prime is 38596622777893. The reversal of 38596622777856 is 65877722669583.

38596622777856 is a `hidden beast` number, since 385 + 9 + 6 + 6 + 227 + 7 + 7 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×38596622777856² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

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, 29943073660 + ... + 29943074948.

It is an arithmetic number, because the mean of its divisors is an integer number (75559685355).

Almost surely, 2^{38596622777856} is an apocalyptic number.

38596622777856 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 38596622777856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72537297940800).

38596622777856 is an abundant number, since it is smaller than the sum of its proper divisors (106477973103744).

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

38596622777856 is a wasteful number, since it uses less digits than its factorization.

38596622777856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1335 counting only the distinct ones).

The product of its digits is 12802406400, while the sum is 81.

The spelling of 38596622777856 in words is "thirty-eight trillion, five hundred ninety-six billion, six hundred twenty-two million, seven hundred seventy-seven thousand, eight hundred fifty-six".