37945860 has 96 divisors (see below), whose sum is σ = 114573312. Its totient is φ = 9356160.

The previous prime is 37945841. The next prime is 37945871. The reversal of 37945860 is 6854973.

It is a happy number.

It is a super-2 number, since 2×37945860² = 2879776582279200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42337 + ... + 43223.

It is an arithmetic number, because the mean of its divisors is an integer number (1193472).

Almost surely, 2^37945860 is an apocalyptic number.

37945860 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 37945860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57286656).

37945860 is an abundant number, since it is smaller than the sum of its proper divisors (76627452).

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

37945860 is a wasteful number, since it uses less digits than its factorization.

37945860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 37945860 is about 6160.0211038600. The cubic root of 37945860 is about 336.0378004525.

The spelling of 37945860 in words is "thirty-seven million, nine hundred forty-five thousand, eight hundred sixty".