37845940 has 24 divisors (see below), whose sum is σ = 86702112. Its totient is φ = 13762080.

The previous prime is 37845937. The next prime is 37845959. The reversal of 37845940 is 4954873.

37845940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 37845893 and 37845902.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 85794 + ... + 86233.

It is an arithmetic number, because the mean of its divisors is an integer number (3612588).

Almost surely, 2^37845940 is an apocalyptic number.

It is an amenable number.

37845940 is an abundant number, since it is smaller than the sum of its proper divisors (48856172).

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

37845940 is a wasteful number, since it uses less digits than its factorization.

37845940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172047 (or 172045 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 37845940 is about 6151.9053958916. The cubic root of 37845940 is about 335.7425867624.

The spelling of 37845940 in words is "thirty-seven million, eight hundred forty-five thousand, nine hundred forty".