37482960 has 80 divisors (see below), whose sum is σ = 123045696. Its totient is φ = 9406464.

The previous prime is 37482947. The next prime is 37482967. The reversal of 37482960 is 6928473.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37482967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514 + ... + 8673.

Almost surely, 2^37482960 is an apocalyptic number.

37482960 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 37482960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61522848).

37482960 is an abundant number, since it is smaller than the sum of its proper divisors (85562736).

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

37482960 is a wasteful number, since it uses less digits than its factorization.

37482960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9220 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 37482960 is about 6122.3328886953. The cubic root of 37482960 is about 334.6657689713.

The spelling of 37482960 in words is "thirty-seven million, four hundred eighty-two thousand, nine hundred sixty".