37416960 has 312 divisors, whose sum is σ = 153335520. Its totient is φ = 8257536.

The previous prime is 37416943. The next prime is 37416961. The reversal of 37416960 is 6961473.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37416961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290226 + ... + 1290254.

It is an arithmetic number, because the mean of its divisors is an integer number (491460).

Almost surely, 2^37416960 is an apocalyptic number.

37416960 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 37416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76667760).

37416960 is an abundant number, since it is smaller than the sum of its proper divisors (115918560).

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

37416960 is a wasteful number, since it uses less digits than its factorization.

37416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 37416960 is about 6116.9404116764. The cubic root of 37416960 is about 334.4692270618.

It can be divided in two parts, 3741 and 6960, that added together give a palindrome (10701).

The spelling of 37416960 in words is "thirty-seven million, four hundred sixteen thousand, nine hundred sixty".