37482048 has 112 divisors (see below), whose sum is σ = 111760000. Its totient is φ = 12317184.

The previous prime is 37482047. The next prime is 37482089. The reversal of 37482048 is 84028473.

37482048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (37482043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188253 + ... + 188451.

Almost surely, 2^37482048 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 37482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55880000).

37482048 is an abundant number, since it is smaller than the sum of its proper divisors (74277952).

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

37482048 is a wasteful number, since it uses less digits than its factorization.

37482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 37482048 is about 6122.2584068300. The cubic root of 37482048 is about 334.6630546921.

The spelling of 37482048 in words is "thirty-seven million, four hundred eighty-two thousand, forty-eight".