37848960 has 96 divisors (see below), whose sum is σ = 130717080. Its totient is φ = 10091520.

The previous prime is 37848911. The next prime is 37848977. The reversal of 37848960 is 6984873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2475 + ... + 9045.

Almost surely, 2^37848960 is an apocalyptic number.

37848960 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 37848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65358540).

37848960 is an abundant number, since it is smaller than the sum of its proper divisors (92868120).

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

37848960 is a wasteful number, since it uses less digits than its factorization.

37848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6596 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 37848960 is about 6152.1508434043. The cubic root of 37848960 is about 335.7515169642.

The spelling of 37848960 in words is "thirty-seven million, eight hundred forty-eight thousand, nine hundred sixty".