37680640 has 80 divisors (see below), whose sum is σ = 92806560. Its totient is φ = 14663680.

The previous prime is 37680637. The next prime is 37680659. The reversal of 37680640 is 4608673.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 37680596 and 37680605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104781 + ... + 105139.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 2^37680640 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 37680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46403280).

37680640 is an abundant number, since it is smaller than the sum of its proper divisors (55125920).

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

37680640 is an equidigital number, since it uses as much as digits as its factorization.

37680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 37680640 is about 6138.4558318848. The cubic root of 37680640 is about 335.2530648897.

The spelling of 37680640 in words is "thirty-seven million, six hundred eighty thousand, six hundred forty".