3920907807960 has 768 divisors, whose sum is σ = 15294235622400. Its totient is φ = 795069665280.

The previous prime is 3920907807893. The next prime is 3920907807977. The reversal of 3920907807960 is 697087090293.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3920907807894 and 3920907807903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82464354 + ... + 82511886.

It is an arithmetic number, because the mean of its divisors is an integer number (19914369300).

Almost surely, 2^{3920907807960} is an apocalyptic number.

3920907807960 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 3920907807960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7647117811200).

3920907807960 is an abundant number, since it is smaller than the sum of its proper divisors (11373327814440).

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

3920907807960 is a wasteful number, since it uses less digits than its factorization.

3920907807960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47624 (or 47609 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 60.

The spelling of 3920907807960 in words is "three trillion, nine hundred twenty billion, nine hundred seven million, eight hundred seven thousand, nine hundred sixty".