38401584250536 has 128 divisors (see below), whose sum is σ = 114879307536000. Its totient is φ = 11815586809344.

The previous prime is 38401584250511. The next prime is 38401584250543. The reversal of 38401584250536 is 63505248510483.

38401584250536 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 1 + 5 + 84 + 25 + 0 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136224100 + ... + 136505708.

It is an arithmetic number, because the mean of its divisors is an integer number (897494590125).

Almost surely, 2^{38401584250536} is an apocalyptic number.

38401584250536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38401584250536 is an abundant number, since it is smaller than the sum of its proper divisors (76477723285464).

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

38401584250536 is a wasteful number, since it uses less digits than its factorization.

38401584250536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330200 (or 330190 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 38401584250536 in words is "thirty-eight trillion, four hundred one billion, five hundred eighty-four million, two hundred fifty thousand, five hundred thirty-six".