37981608 has 128 divisors (see below), whose sum is σ = 116505600. Its totient is φ = 10077696.

The previous prime is 37981607. The next prime is 37981609. The reversal of 37981608 is 80618973.

It is an interprime number because it is at equal distance from previous prime (37981607) and next prime (37981609).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 37981608.

It is not an unprimeable number, because it can be changed into a prime (37981607) 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 31 ways as a sum of consecutive naturals, for example, 232935 + ... + 233097.

It is an arithmetic number, because the mean of its divisors is an integer number (910200).

Almost surely, 2^37981608 is an apocalyptic number.

37981608 is a gapful number since it is divisible by the number (38) 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 37981608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58252800).

37981608 is an abundant number, since it is smaller than the sum of its proper divisors (78523992).

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

37981608 is a wasteful number, since it uses less digits than its factorization.

37981608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 37981608 is about 6162.9220342302. The cubic root of 37981608 is about 336.1432920569.

The spelling of 37981608 in words is "thirty-seven million, nine hundred eighty-one thousand, six hundred eight".