38046838152960 has 1296 divisors, whose sum is σ = 164973091046400. Its totient is φ = 7925626994688.

The previous prime is 38046838152959. The next prime is 38046838152977. The reversal of 38046838152960 is 6925183864083.

It is a happy number.

38046838152960 is a `hidden beast` number, since 3 + 8 + 0 + 46 + 8 + 3 + 8 + 1 + 529 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1076606971 + ... + 1076642309.

Almost surely, 2^{38046838152960} is an apocalyptic number.

38046838152960 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 38046838152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82486545523200).

38046838152960 is an abundant number, since it is smaller than the sum of its proper divisors (126926252893440).

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

38046838152960 is a wasteful number, since it uses less digits than its factorization.

38046838152960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35478 (or 35448 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 38046838152960 in words is "thirty-eight trillion, forty-six billion, eight hundred thirty-eight million, one hundred fifty-two thousand, nine hundred sixty".