38712864 has 96 divisors (see below), whose sum is σ = 107775360. Its totient is φ = 12142592.

The previous prime is 38712853. The next prime is 38712871. The reversal of 38712864 is 46821783.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196414 + ... + 196610.

It is an arithmetic number, because the mean of its divisors is an integer number (1122660).

Almost surely, 2^38712864 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 38712864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53887680).

38712864 is an abundant number, since it is smaller than the sum of its proper divisors (69062496).

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

38712864 is a wasteful number, since it uses less digits than its factorization.

38712864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 38712864 is about 6221.9662487031. The cubic root of 38712864 is about 338.2868379624.

The spelling of 38712864 in words is "thirty-eight million, seven hundred twelve thousand, eight hundred sixty-four".