38883264 has 84 divisors (see below), whose sum is σ = 119704104. Its totient is φ = 11106816.

The previous prime is 38883227. The next prime is 38883277. The reversal of 38883264 is 46238883.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7342 + ... + 11474.

Almost surely, 2^38883264 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 38883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59852052).

38883264 is an abundant number, since it is smaller than the sum of its proper divisors (80820840).

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

38883264 is a wasteful number, since it uses less digits than its factorization.

38883264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162 (or 4145 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 38883264 is about 6235.6446338771. The cubic root of 38883264 is about 338.7824501986.

The spelling of 38883264 in words is "thirty-eight million, eight hundred eighty-three thousand, two hundred sixty-four".