37478560 has 96 divisors (see below), whose sum is σ = 102453120. Its totient is φ = 12690432.

The previous prime is 37478533. The next prime is 37478561. The reversal of 37478560 is 6587473.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37478561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121927 + ... + 122233.

It is an arithmetic number, because the mean of its divisors is an integer number (1067220).

Almost surely, 2^37478560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37478560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51226560).

37478560 is an abundant number, since it is smaller than the sum of its proper divisors (64974560).

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

37478560 is a wasteful number, since it uses less digits than its factorization.

37478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 37478560 is about 6121.9735380023. The cubic root of 37478560 is about 334.6526733584.

The spelling of 37478560 in words is "thirty-seven million, four hundred seventy-eight thousand, five hundred sixty".