3931920720 has 360 divisors, whose sum is σ = 16544081736. Its totient is φ = 829495296.

The previous prime is 3931920709. The next prime is 3931920749. The reversal of 3931920720 is 270291393.

It can be written as a sum of positive squares in 4 ways, for example, as 5143824 + 3926776896 = 2268^2 + 62664^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 454354 + ... + 462926.

Almost surely, 2^3931920720 is an apocalyptic number.

3931920720 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 3931920720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8272040868).

3931920720 is an abundant number, since it is smaller than the sum of its proper divisors (12612161016).

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

3931920720 is a wasteful number, since it uses less digits than its factorization.

3931920720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8619 (or 8603 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3931920720 is about 62705.0294633533. The cubic root of 3931920720 is about 1578.3437111221.

The spelling of 3931920720 in words is "three billion, nine hundred thirty-one million, nine hundred twenty thousand, seven hundred twenty".