37198056 has 96 divisors (see below), whose sum is σ = 110643840. Its totient is φ = 10386432.

The previous prime is 37198037. The next prime is 37198079. The reversal of 37198056 is 65089173.

37198056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×37198056³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54936 + ... + 55608.

It is an arithmetic number, because the mean of its divisors is an integer number (1152540).

Almost surely, 2^37198056 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 37198056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55321920).

37198056 is an abundant number, since it is smaller than the sum of its proper divisors (73445784).

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

37198056 is a wasteful number, since it uses less digits than its factorization.

37198056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 37198056 is about 6099.0209050306. The cubic root of 37198056 is about 333.8156918762.

The spelling of 37198056 in words is "thirty-seven million, one hundred ninety-eight thousand, fifty-six".