37542540 has 48 divisors (see below), whose sum is σ = 120137472. Its totient is φ = 8581056.

The previous prime is 37542539. The next prime is 37542541. The reversal of 37542540 is 4524573.

37542540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37542539) and next prime (37542541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 37542498 and 37542507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37542541) 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, 44274 + ... + 45113.

It is an arithmetic number, because the mean of its divisors is an integer number (2502864).

Almost surely, 2^37542540 is an apocalyptic number.

37542540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

37542540 is an abundant number, since it is smaller than the sum of its proper divisors (82594932).

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

37542540 is a wasteful number, since it uses less digits than its factorization.

37542540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89406 (or 89404 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 37542540 is about 6127.1967489220. The cubic root of 37542540 is about 334.8429946683.

The spelling of 37542540 in words is "thirty-seven million, five hundred forty-two thousand, five hundred forty".