37661988 has 108 divisors (see below), whose sum is σ = 110985840. Its totient is φ = 9906624.

The previous prime is 37661983. The next prime is 37661989. The reversal of 37661988 is 88916673.

37661988 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-2 number, since 2×37661988² = 2836850680224288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (37661983) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 99183 + ... + 99561.

Almost surely, 2^37661988 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 37661988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55492920).

37661988 is an abundant number, since it is smaller than the sum of its proper divisors (73323852).

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

37661988 is a wasteful number, since it uses less digits than its factorization.

37661988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 404 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 37661988 is about 6136.9363692318. The cubic root of 37661988 is about 335.1977387574.

The spelling of 37661988 in words is "thirty-seven million, six hundred sixty-one thousand, nine hundred eighty-eight".