3687740320 has 192 divisors, whose sum is σ = 9819532800. Its totient is φ = 1297244160.

The previous prime is 3687740281. The next prime is 3687740321. The reversal of 3687740320 is 230477863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3687740321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9016276 + ... + 9016684.

It is an arithmetic number, because the mean of its divisors is an integer number (51143400).

Almost surely, 2^3687740320 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 3687740320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909766400).

3687740320 is an abundant number, since it is smaller than the sum of its proper divisors (6131792480).

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

3687740320 is a wasteful number, since it uses less digits than its factorization.

3687740320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 3687740320 is about 60726.7677387822. The cubic root of 3687740320 is about 1544.9702126968.

The spelling of 3687740320 in words is "three billion, six hundred eighty-seven million, seven hundred forty thousand, three hundred twenty".