37960640 has 56 divisors (see below), whose sum is σ = 90921840. Its totient is φ = 15095808.

The previous prime is 37960639. The next prime is 37960669. The reversal of 37960640 is 4606973.

It is a self number, because there is not a number n which added to its sum of digits gives 37960640.

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 7 ways as a sum of consecutive naturals, for example, 99971 + ... + 100349.

Almost surely, 2^37960640 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 37960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45460920).

37960640 is an abundant number, since it is smaller than the sum of its proper divisors (52961200).

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

37960640 is a wasteful number, since it uses less digits than its factorization.

37960640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 37960640 is about 6161.2206582787. The cubic root of 37960640 is about 336.0814239553.

The spelling of 37960640 in words is "thirty-seven million, nine hundred sixty thousand, six hundred forty".