38874304 has 56 divisors (see below), whose sum is σ = 92821760. Its totient is φ = 15780096.

The previous prime is 38874289. The next prime is 38874313. The reversal of 38874304 is 40347883.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×38874304² = 3022423022968832, which contains 22 as substring.

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, 6229 + ... + 10795.

Almost surely, 2^38874304 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 38874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46410880).

38874304 is an abundant number, since it is smaller than the sum of its proper divisors (53947456).

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

38874304 is a wasteful number, since it uses less digits than its factorization.

38874304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 38874304 is about 6234.9261423051. The cubic root of 38874304 is about 338.7564259435.

The spelling of 38874304 in words is "thirty-eight million, eight hundred seventy-four thousand, three hundred four".