38003952 has 80 divisors (see below), whose sum is σ = 118127360. Its totient is φ = 10285056.

The previous prime is 38003909. The next prime is 38003963. The reversal of 38003952 is 25930083.

It is a happy number.

It is a congruent number.

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, 3408 + ... + 9360.

It is an arithmetic number, because the mean of its divisors is an integer number (1476592).

Almost surely, 2^38003952 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 38003952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59063680).

38003952 is an abundant number, since it is smaller than the sum of its proper divisors (80123408).

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

38003952 is a wasteful number, since it uses less digits than its factorization.

38003952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5990 (or 5984 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 38003952 is about 6164.7345441633. The cubic root of 38003952 is about 336.2091951240.

The spelling of 38003952 in words is "thirty-eight million, three thousand, nine hundred fifty-two".