38416636128 has 48 divisors (see below), whose sum is σ = 108600878736. Its totient is φ = 11820503040.

The previous prime is 38416636099. The next prime is 38416636157. The reversal of 38416636128 is 82163661483.

38416636128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38416636099) and next prime (38416636157).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15390033 + ... + 15392528.

It is an arithmetic number, because the mean of its divisors is an integer number (2262518307).

Almost surely, 2^38416636128 is an apocalyptic number.

It is an amenable number.

38416636128 is an abundant number, since it is smaller than the sum of its proper divisors (70184242608).

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

38416636128 is a wasteful number, since it uses less digits than its factorization.

38416636128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30782587 (or 30782579 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 38416636128 in words is "thirty-eight billion, four hundred sixteen million, six hundred thirty-six thousand, one hundred twenty-eight".