37480920 has 128 divisors (see below), whose sum is σ = 125452800. Its totient is φ = 8902656.

The previous prime is 37480879. The next prime is 37480943. The reversal of 37480920 is 2908473.

It is a congruent number.

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, 38277 + ... + 39243.

It is an arithmetic number, because the mean of its divisors is an integer number (980100).

Almost surely, 2^37480920 is an apocalyptic number.

37480920 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 37480920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62726400).

37480920 is an abundant number, since it is smaller than the sum of its proper divisors (87971880).

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

37480920 is a wasteful number, since it uses less digits than its factorization.

37480920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 37480920 is about 6122.1662832693. The cubic root of 37480920 is about 334.6596974964.

The spelling of 37480920 in words is "thirty-seven million, four hundred eighty thousand, nine hundred twenty".