38415949824 has 672 divisors, whose sum is σ = 132678708480. Its totient is φ = 9809952768.

The previous prime is 38415949813. The next prime is 38415949849. The reversal of 38415949824 is 42894951483.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×38415949824³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 526245852 + ... + 526245924.

Almost surely, 2^38415949824 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 38415949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66339354240).

38415949824 is an abundant number, since it is smaller than the sum of its proper divisors (94262758656).

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

38415949824 is a wasteful number, since it uses less digits than its factorization.

38415949824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The spelling of 38415949824 in words is "thirty-eight billion, four hundred fifteen million, nine hundred forty-nine thousand, eight hundred twenty-four".