3980315788800 has 480 divisors, whose sum is σ = 14542939421472. Its totient is φ = 953285345280.

The previous prime is 3980315788759. The next prime is 3980315788819. The reversal of 3980315788800 is 88875130893.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18362652 + ... + 18578148.

Almost surely, 2^{3980315788800} is an apocalyptic number.

3980315788800 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 3980315788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271469710736).

3980315788800 is an abundant number, since it is smaller than the sum of its proper divisors (10562623632672).

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

3980315788800 is a wasteful number, since it uses less digits than its factorization.

3980315788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215578 (or 215557 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 3980315788800 in words is "three trillion, nine hundred eighty billion, three hundred fifteen million, seven hundred eighty-eight thousand, eight hundred".