37749640 has 16 divisors (see below), whose sum is σ = 84936780. Its totient is φ = 15099840.

The previous prime is 37749631. The next prime is 37749671. The reversal of 37749640 is 4694773.

37749640 = 271² + 272² + ... + 510².

It can be written as a sum of positive squares in 2 ways, for example, as 34644996 + 3104644 = 5886^2 + 1762^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 943741 = 37749640 / (3 + 7 + 7 + 4 + 9 + 6 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 37749593 and 37749602.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 471831 + ... + 471910.

Almost surely, 2^37749640 is an apocalyptic number.

It is an amenable number.

37749640 is an abundant number, since it is smaller than the sum of its proper divisors (47187140).

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

37749640 is a wasteful number, since it uses less digits than its factorization.

37749640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943752 (or 943748 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 37749640 is about 6144.0735672679. The cubic root of 37749640 is about 335.4575762421.

The spelling of 37749640 in words is "thirty-seven million, seven hundred forty-nine thousand, six hundred forty".