37945116 has 108 divisors (see below), whose sum is σ = 109217472. Its totient is φ = 11088000.

The previous prime is 37945099. The next prime is 37945123. The reversal of 37945116 is 61154973.

37945116 is a nontrivial binomial coefficient, being equal to C(8712, 2).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134896 + ... + 135176.

Almost surely, 2^37945116 is an apocalyptic number.

37945116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

37945116 is the 8711-st triangular number and also the 4356-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37945116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54608736).

37945116 is an abundant number, since it is smaller than the sum of its proper divisors (71272356).

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

37945116 is a wasteful number, since it uses less digits than its factorization.

37945116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 328 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 37945116 is about 6159.9607141604. The cubic root of 37945116 is about 336.0356042203.

The spelling of 37945116 in words is "thirty-seven million, nine hundred forty-five thousand, one hundred sixteen".