38630816 has 72 divisors (see below), whose sum is σ = 89976096. Its totient is φ = 16275840.

The previous prime is 38630807. The next prime is 38630831. The reversal of 38630816 is 61803683.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111155 + ... + 111501.

It is an arithmetic number, because the mean of its divisors is an integer number (1249668).

Almost surely, 2^38630816 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 38630816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44988048).

38630816 is an abundant number, since it is smaller than the sum of its proper divisors (51345280).

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

38630816 is a wasteful number, since it uses less digits than its factorization.

38630816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 38630816 is about 6215.3693373765. The cubic root of 38630816 is about 338.0476806794.

The spelling of 38630816 in words is "thirty-eight million, six hundred thirty thousand, eight hundred sixteen".