38816624704 has 448 divisors, whose sum is σ = 99102818304. Its totient is φ = 14837760000.

The previous prime is 38816624683. The next prime is 38816624741. The reversal of 38816624704 is 40742661883.

It is a super-2 number, since 2×38816624704² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546712989 + ... + 546713059.

It is an arithmetic number, because the mean of its divisors is an integer number (221211648).

Almost surely, 2^38816624704 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 38816624704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49551409152).

38816624704 is an abundant number, since it is smaller than the sum of its proper divisors (60286193600).

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

38816624704 is a wasteful number, since it uses less digits than its factorization.

38816624704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 38816624704 in words is "thirty-eight billion, eight hundred sixteen million, six hundred twenty-four thousand, seven hundred four".