38328576 has 144 divisors (see below), whose sum is σ = 120187200. Its totient is φ = 10690560.

The previous prime is 38328553. The next prime is 38328599. The reversal of 38328576 is 67582383.

It is an interprime number because it is at equal distance from previous prime (38328553) and next prime (38328599).

Its product of digits (241920) is a multiple of the sum of its prime divisors (378).

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, 109650 + ... + 109998.

Almost surely, 2^38328576 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 38328576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60093600).

38328576 is an abundant number, since it is smaller than the sum of its proper divisors (81858624).

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

38328576 is a wasteful number, since it uses less digits than its factorization.

38328576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 378 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 38328576 is about 6191.0076724230. The cubic root of 38328576 is about 337.1637649993.

The spelling of 38328576 in words is "thirty-eight million, three hundred twenty-eight thousand, five hundred seventy-six".