38265152 has 56 divisors (see below), whose sum is σ = 80238600. Its totient is φ = 18077696.

The previous prime is 38265133. The next prime is 38265167. The reversal of 38265152 is 25156283.

It can be written as a sum of positive squares in 4 ways, for example, as 5271616 + 32993536 = 2296^2 + 5744^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98174 + ... + 98562.

Almost surely, 2^38265152 is an apocalyptic number.

38265152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40119300).

38265152 is an abundant number, since it is smaller than the sum of its proper divisors (41973448).

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

38265152 is a wasteful number, since it uses less digits than its factorization.

38265152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 38265152 is about 6185.8832837356. The cubic root of 38265152 is about 336.9776890312.

The spelling of 38265152 in words is "thirty-eight million, two hundred sixty-five thousand, one hundred fifty-two".