37680048 has 120 divisors (see below), whose sum is σ = 124768800. Its totient is φ = 10386432.

The previous prime is 37680031. The next prime is 37680067. The reversal of 37680048 is 84008673.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 37679994 and 37680021.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28588 + ... + 29876.

It is an arithmetic number, because the mean of its divisors is an integer number (1039740).

Almost surely, 2^37680048 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 37680048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62384400).

37680048 is an abundant number, since it is smaller than the sum of its proper divisors (87088752).

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

37680048 is a wasteful number, since it uses less digits than its factorization.

37680048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 37680048 is about 6138.4076110992. The cubic root of 37680048 is about 335.2513091618.

The spelling of 37680048 in words is "thirty-seven million, six hundred eighty thousand, forty-eight".