38953264 has 80 divisors (see below), whose sum is σ = 91065600. Its totient is φ = 15789312.

The previous prime is 38953259. The next prime is 38953279. The reversal of 38953264 is 46235983.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217527 + ... + 217705.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 2^38953264 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 38953264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45532800).

38953264 is an abundant number, since it is smaller than the sum of its proper divisors (52112336).

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

38953264 is a wasteful number, since it uses less digits than its factorization.

38953264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The square root of 38953264 is about 6241.2550020008. The cubic root of 38953264 is about 338.9856271987.

The spelling of 38953264 in words is "thirty-eight million, nine hundred fifty-three thousand, two hundred sixty-four".