38066377104000 has 384 divisors, whose sum is σ = 156235291879680. Its totient is φ = 8700885964800.

The previous prime is 38066377103987. The next prime is 38066377104073. The reversal of 38066377104000 is 40177366083.

38066377104000 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 637 + 7 + 1 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17874132 + ... + 19890131.

It is an arithmetic number, because the mean of its divisors is an integer number (406862739270).

Almost surely, 2^{38066377104000} is an apocalyptic number.

38066377104000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38066377104000 is an abundant number, since it is smaller than the sum of its proper divisors (118168914775680).

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

38066377104000 is a wasteful number, since it uses less digits than its factorization.

38066377104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37764305 (or 37764280 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 38066377104000 in words is "thirty-eight trillion, sixty-six billion, three hundred seventy-seven million, one hundred four thousand".