37938048 has 64 divisors (see below), whose sum is σ = 104056320. Its totient is φ = 12234240.

The previous prime is 37938037. The next prime is 37938049. The reversal of 37938048 is 84083973.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37938049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10311 + ... + 13497.

It is an arithmetic number, because the mean of its divisors is an integer number (1625880).

Almost surely, 2^37938048 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 37938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52028160).

37938048 is an abundant number, since it is smaller than the sum of its proper divisors (66118272).

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

37938048 is a wasteful number, since it uses less digits than its factorization.

37938048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 37938048 is about 6159.3869824845. The cubic root of 37938048 is about 336.0147385825.

The spelling of 37938048 in words is "thirty-seven million, nine hundred thirty-eight thousand, forty-eight".