38385252 has 144 divisors (see below), whose sum is σ = 112275072. Its totient is φ = 11404800.

The previous prime is 38385251. The next prime is 38385289. The reversal of 38385252 is 25258383.

It is a super-2 number, since 2×38385252² = 2946855142207008, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

Its product of digits (57600) is a multiple of the sum of its prime factors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38385251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380002 + ... + 380102.

It is an arithmetic number, because the mean of its divisors is an integer number (779688).

Almost surely, 2^38385252 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 38385252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137536).

38385252 is an abundant number, since it is smaller than the sum of its proper divisors (73889820).

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

38385252 is a wasteful number, since it uses less digits than its factorization.

38385252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 38385252 is about 6195.5832655207. The cubic root of 38385252 is about 337.3298698091.

The spelling of 38385252 in words is "thirty-eight million, three hundred eighty-five thousand, two hundred fifty-two".