37540048 has 160 divisors (see below), whose sum is σ = 99993600. Its totient is φ = 13229568.

The previous prime is 37540037. The next prime is 37540049. The reversal of 37540048 is 84004573.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37540049) 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 31 ways as a sum of consecutive naturals, for example, 636243 + ... + 636301.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^37540048 is an apocalyptic number.

37540048 is a gapful number since it is divisible by the number (38) 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 37540048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49996800).

37540048 is an abundant number, since it is smaller than the sum of its proper divisors (62453552).

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

37540048 is a wasteful number, since it uses less digits than its factorization.

37540048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 37540048 is about 6126.9933899099. The cubic root of 37540048 is about 334.8355857644.

The spelling of 37540048 in words is "thirty-seven million, five hundred forty thousand, forty-eight".