3720960768 has 216 divisors, whose sum is σ = 11735895808. Its totient is φ = 1025224704.

The previous prime is 3720960767. The next prime is 3720960787. The reversal of 3720960768 is 8670690273.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3720960767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4520805 + ... + 4521627.

Almost surely, 2^3720960768 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 3720960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867947904).

3720960768 is an abundant number, since it is smaller than the sum of its proper divisors (8014935040).

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

3720960768 is an equidigital number, since it uses as much as digits as its factorization.

3720960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 3720960768 is about 60999.6784253819. The cubic root of 3720960768 is about 1549.5955612157.

The spelling of 3720960768 in words is "three billion, seven hundred twenty million, nine hundred sixty thousand, seven hundred sixty-eight".