37198368 has 72 divisors (see below), whose sum is σ = 107822988. Its totient is φ = 12160512.

The previous prime is 37198361. The next prime is 37198417. The reversal of 37198368 is 86389173.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31945104 + 5253264 = 5652^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (37198361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14046 + ... + 16482.

Almost surely, 2^37198368 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 37198368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53911494).

37198368 is an abundant number, since it is smaller than the sum of its proper divisors (70624620).

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

37198368 is a wasteful number, since it uses less digits than its factorization.

37198368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2495 counting only the distinct ones).

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

The square root of 37198368 is about 6099.0464828529. The cubic root of 37198368 is about 333.8166251706.

The spelling of 37198368 in words is "thirty-seven million, one hundred ninety-eight thousand, three hundred sixty-eight".