38756016 has 160 divisors (see below), whose sum is σ = 122769920. Its totient is φ = 11632896.

The previous prime is 38756009. The next prime is 38756017. The reversal of 38756016 is 61065783.

38756016 is a `hidden beast` number, since 3 + 87 + 560 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38756017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376221 + ... + 376323.

It is an arithmetic number, because the mean of its divisors is an integer number (767312).

Almost surely, 2^38756016 is an apocalyptic number.

38756016 is a gapful number since it is divisible by the number (36) 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 38756016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61384960).

38756016 is an abundant number, since it is smaller than the sum of its proper divisors (84013904).

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

38756016 is a wasteful number, since it uses less digits than its factorization.

38756016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38756016 is about 6225.4329969890. The cubic root of 38756016 is about 338.4124838209.

The spelling of 38756016 in words is "thirty-eight million, seven hundred fifty-six thousand, sixteen".