38252952 has 64 divisors (see below), whose sum is σ = 106764000. Its totient is φ = 12690432.

The previous prime is 38252923. The next prime is 38252953. The reversal of 38252952 is 25925283.

38252952 is a `hidden beast` number, since 3 + 82 + 529 + 52 = 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 (38252953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88128 + ... + 88560.

Almost surely, 2^38252952 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 38252952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53382000).

38252952 is an abundant number, since it is smaller than the sum of its proper divisors (68511048).

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

38252952 is a wasteful number, since it uses less digits than its factorization.

38252952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 847 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 38252952 is about 6184.8970888771. The cubic root of 38252952 is about 336.9418725892.

It can be divided in two parts, 38252 and 952, that added together give a square (39204 = 198²).

The spelling of 38252952 in words is "thirty-eight million, two hundred fifty-two thousand, nine hundred fifty-two".