3720000960 has 252 divisors, whose sum is σ = 13857027912. Its totient is φ = 915572736.

The previous prime is 3720000953. The next prime is 3720000997. The reversal of 3720000960 is 690000273.

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, 482899 + ... + 490541.

It is an arithmetic number, because the mean of its divisors is an integer number (54988206).

Almost surely, 2^3720000960 is an apocalyptic number.

3720000960 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 3720000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928513956).

3720000960 is an abundant number, since it is smaller than the sum of its proper divisors (10137026952).

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

3720000960 is a wasteful number, since it uses less digits than its factorization.

3720000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7692 (or 7666 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3720000960 is about 60991.8105978171. The cubic root of 3720000960 is about 1549.4623122862.

The spelling of 3720000960 in words is "three billion, seven hundred twenty million, nine hundred sixty", and thus it is an aban number.