3980791084788 has 336 divisors, whose sum is σ = 12640617400320. Its totient is φ = 1071037795392.

The previous prime is 3980791084783. The next prime is 3980791084801. The reversal of 3980791084788 is 8874801970893.

3980791084788 is a `hidden beast` number, since 3 + 9 + 80 + 79 + 1 + 0 + 8 + 478 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3980791084783) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 64736545 + ... + 64798007.

It is an arithmetic number, because the mean of its divisors is an integer number (37620885120).

Almost surely, 2^{3980791084788} is an apocalyptic number.

3980791084788 is a gapful number since it is divisible by the number (38) 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 3980791084788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320308700160).

3980791084788 is an abundant number, since it is smaller than the sum of its proper divisors (8659826315532).

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

3980791084788 is a wasteful number, since it uses less digits than its factorization.

3980791084788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61678 (or 61661 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 3980791084788 in words is "three trillion, nine hundred eighty billion, seven hundred ninety-one million, eighty-four thousand, seven hundred eighty-eight".