38452752 has 160 divisors (see below), whose sum is σ = 122492160. Its totient is φ = 11473920.

The previous prime is 38452723. The next prime is 38452763. The reversal of 38452752 is 25725483.

38452752 is a `hidden beast` number, since 3 + 84 + 527 + 52 = 666.

It is a super-2 number, since 2×38452752² = 2957228272747008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 230173 + ... + 230339.

It is an arithmetic number, because the mean of its divisors is an integer number (765576).

Almost surely, 2^38452752 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 38452752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61246080).

38452752 is an abundant number, since it is smaller than the sum of its proper divisors (84039408).

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

38452752 is a wasteful number, since it uses less digits than its factorization.

38452752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 226 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 38452752 is about 6201.0283018222. The cubic root of 38452752 is about 337.5274841815.

It can be divided in two parts, 38452 and 752, that added together give a square (39204 = 198²).

The spelling of 38452752 in words is "thirty-eight million, four hundred fifty-two thousand, seven hundred fifty-two".