37982640 has 40 divisors (see below), whose sum is σ = 117746928. Its totient is φ = 10128640.

The previous prime is 37982621. The next prime is 37982677. The reversal of 37982640 is 4628973.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78891 + ... + 79370.

Almost surely, 2^37982640 is an apocalyptic number.

37982640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37982640 is an abundant number, since it is smaller than the sum of its proper divisors (79764288).

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

37982640 is a wasteful number, since it uses less digits than its factorization.

37982640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158277 (or 158271 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 37982640 is about 6163.0057601790. The cubic root of 37982640 is about 336.1463364843.

The spelling of 37982640 in words is "thirty-seven million, nine hundred eighty-two thousand, six hundred forty".