3980359656000 has 2688 divisors, whose sum is σ = 18604818385920. Its totient is φ = 815173632000.

The previous prime is 3980359655969. The next prime is 3980359656001. The reversal of 3980359656000 is 6569530893.

It is a super-2 number, since 2×3980359656000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3980359656001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9454535790 + ... + 9454536210.

Almost surely, 2^{3980359656000} is an apocalyptic number.

3980359656000 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 3980359656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9302409192960).

3980359656000 is an abundant number, since it is smaller than the sum of its proper divisors (14624458729920).

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

3980359656000 is a wasteful number, since it uses less digits than its factorization.

3980359656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 3980359656000 in words is "three trillion, nine hundred eighty billion, three hundred fifty-nine million, six hundred fifty-six thousand".