37140768 has 240 divisors, whose sum is σ = 131725440. Its totient is φ = 10036224.

The previous prime is 37140737. The next prime is 37140773. The reversal of 37140768 is 86704173.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 417268 + ... + 417356.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 2^37140768 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 37140768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65862720).

37140768 is an abundant number, since it is smaller than the sum of its proper divisors (94584672).

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

37140768 is a wasteful number, since it uses less digits than its factorization.

37140768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 37140768 is about 6094.3226038667. The cubic root of 37140768 is about 333.6442361504.

The spelling of 37140768 in words is "thirty-seven million, one hundred forty thousand, seven hundred sixty-eight".