37442160 has 480 divisors, whose sum is σ = 167132160. Its totient is φ = 7299072.

The previous prime is 37442159. The next prime is 37442191. The reversal of 37442160 is 6124473.

37442160 = 400² + 401² + ... + 560².

It is a Cunningham number, because it is equal to 6119²-1.

37442160 is a nontrivial binomial coefficient, being equal to C(28, 13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1627909 + ... + 1627931.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 2^37442160 is an apocalyptic number.

37442160 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 37442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

37442160 is an abundant number, since it is smaller than the sum of its proper divisors (129690000).

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

37442160 is a wasteful number, since it uses less digits than its factorization.

37442160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 37442160 is about 6118.9999182873. Note that the first 4 decimals coincide. The cubic root of 37442160 is about 334.5442975915.

The spelling of 37442160 in words is "thirty-seven million, four hundred forty-two thousand, one hundred sixty".