38749146624 has 120 divisors (see below), whose sum is σ = 113502709320. Its totient is φ = 12723499008.

The previous prime is 38749146619. The next prime is 38749146629. The reversal of 38749146624 is 42664194783.

38749146624 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 9 + 1 + 4 + 6 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (38749146619) and next prime (38749146629).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38749146629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245982 + ... + 371490.

It is an arithmetic number, because the mean of its divisors is an integer number (945855911).

Almost surely, 2^38749146624 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 38749146624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56751354660).

38749146624 is an abundant number, since it is smaller than the sum of its proper divisors (74753562696).

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

38749146624 is a wasteful number, since it uses less digits than its factorization.

38749146624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125600 (or 125581 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 38749146624 in words is "thirty-eight billion, seven hundred forty-nine million, one hundred forty-six thousand, six hundred twenty-four".