3920716800 has 1584 divisors, whose sum is σ = 19956972672. Its totient is φ = 707788800.

The previous prime is 3920716769. The next prime is 3920716831. The reversal of 3920716800 is 86170293.

It is an interprime number because it is at equal distance from previous prime (3920716769) and next prime (3920716831).

It is a tau number, because it is divible by the number of its divisors (1584).

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 143 ways as a sum of consecutive naturals, for example, 230630392 + ... + 230630408.

Almost surely, 2^3920716800 is an apocalyptic number.

3920716800 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 3920716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978486336).

3920716800 is an abundant number, since it is smaller than the sum of its proper divisors (16036255872).

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

3920716800 is a wasteful number, since it uses less digits than its factorization.

3920716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3920716800 is about 62615.6274423566. The cubic root of 3920716800 is about 1576.8431332495.

The spelling of 3920716800 in words is "three billion, nine hundred twenty million, seven hundred sixteen thousand, eight hundred".