37398816 has 144 divisors (see below), whose sum is σ = 130987584. Its totient is φ = 9856512.

The previous prime is 37398811. The next prime is 37398817. The reversal of 37398816 is 61889373.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (37398811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25495 + ... + 26921.

It is an arithmetic number, because the mean of its divisors is an integer number (909636).

Almost surely, 2^37398816 is an apocalyptic number.

37398816 is a gapful number since it is divisible by the number (36) 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 37398816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65493792).

37398816 is an abundant number, since it is smaller than the sum of its proper divisors (93588768).

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

37398816 is a wasteful number, since it uses less digits than its factorization.

37398816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1452 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 37398816 is about 6115.4571374510. The cubic root of 37398816 is about 334.4151554069.

The spelling of 37398816 in words is "thirty-seven million, three hundred ninety-eight thousand, eight hundred sixteen".