37995840 has 168 divisors, whose sum is σ = 133136640. Its totient is φ = 9944064.

The previous prime is 37995827. The next prime is 37995847. The reversal of 37995840 is 4859973.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37995847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227437 + ... + 227603.

It is an arithmetic number, because the mean of its divisors is an integer number (792480).

Almost surely, 2^37995840 is an apocalyptic number.

37995840 is a gapful number since it is divisible by the number (30) 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 37995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

37995840 is an abundant number, since it is smaller than the sum of its proper divisors (95140800).

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

37995840 is a wasteful number, since it uses less digits than its factorization.

37995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 37995840 is about 6164.0765731779. The cubic root of 37995840 is about 336.1852719711.

The spelling of 37995840 in words is "thirty-seven million, nine hundred ninety-five thousand, eight hundred forty".