38815320 has 64 divisors (see below), whose sum is σ = 117573120. Its totient is φ = 10250624.

The previous prime is 38815313. The next prime is 38815321. The reversal of 38815320 is 2351883.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38815321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11329 + ... + 14351.

It is an arithmetic number, because the mean of its divisors is an integer number (1837080).

Almost surely, 2^38815320 is an apocalyptic number.

38815320 is a gapful number since it is divisible by the number (30) 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 38815320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58786560).

38815320 is an abundant number, since it is smaller than the sum of its proper divisors (78757800).

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

38815320 is a wasteful number, since it uses less digits than its factorization.

38815320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 38815320 is about 6230.1942184815. The cubic root of 38815320 is about 338.5850074542.

The spelling of 38815320 in words is "thirty-eight million, eight hundred fifteen thousand, three hundred twenty".