3920311680 has 128 divisors (see below), whose sum is σ = 12518949600. Its totient is φ = 1043496960.

The previous prime is 3920311657. The next prime is 3920311691. The reversal of 3920311680 is 861130293.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1267576 + ... + 1270664.

Almost surely, 2^3920311680 is an apocalyptic number.

3920311680 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 3920311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259474800).

3920311680 is an abundant number, since it is smaller than the sum of its proper divisors (8598637920).

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

3920311680 is a wasteful number, since it uses less digits than its factorization.

3920311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3920311680 is about 62612.3923836168. The cubic root of 3920311680 is about 1576.7888206730.

The spelling of 3920311680 in words is "three billion, nine hundred twenty million, three hundred eleven thousand, six hundred eighty".