38046659280896 has 384 divisors, whose sum is σ = 90866125062720. Its totient is φ = 15878415974400.

The previous prime is 38046659280871. The next prime is 38046659280911. The reversal of 38046659280896 is 69808295664083.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9461987366 + ... + 9461991386.

Almost surely, 2^{38046659280896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38046659280896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45433062531360).

38046659280896 is an abundant number, since it is smaller than the sum of its proper divisors (52819465781824).

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

38046659280896 is an frugal number, since it uses more digits than its factorization.

38046659280896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 74.

The spelling of 38046659280896 in words is "thirty-eight trillion, forty-six billion, six hundred fifty-nine million, two hundred eighty thousand, eight hundred ninety-six".