38696512871520 has 432 divisors, whose sum is σ = 154054117356048. Its totient is φ = 8819421972480.

The previous prime is 38696512871449. The next prime is 38696512871521. The reversal of 38696512871520 is 2517821569683.

38696512871520 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 6 + 512 + 87 + 15 + 20 = 666.

It is a super-2 number, since 2×38696512871520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38696512871521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23694090 + ... + 25274550.

It is an arithmetic number, because the mean of its divisors is an integer number (356606753139).

Almost surely, 2^{38696512871520} is an apocalyptic number.

38696512871520 is a gapful number since it is divisible by the number (30) 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 38696512871520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77027058678024).

38696512871520 is an abundant number, since it is smaller than the sum of its proper divisors (115357604484528).

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

38696512871520 is a wasteful number, since it uses less digits than its factorization.

38696512871520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580843 (or 1580825 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 38696512871520 in words is "thirty-eight trillion, six hundred ninety-six billion, five hundred twelve million, eight hundred seventy-one thousand, five hundred twenty".