3976288912680 has 384 divisors, whose sum is σ = 14396175360000. Its totient is φ = 875119956480.

The previous prime is 3976288912667. The next prime is 3976288912693. The reversal of 3976288912680 is 862198826793.

3976288912680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3976288912667) and next prime (3976288912693).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36218911 + ... + 36328529.

It is an arithmetic number, because the mean of its divisors is an integer number (37490040000).

Almost surely, 2^{3976288912680} is an apocalyptic number.

3976288912680 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 3976288912680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198087680000).

3976288912680 is an abundant number, since it is smaller than the sum of its proper divisors (10419886447320).

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

3976288912680 is a wasteful number, since it uses less digits than its factorization.

3976288912680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109877 (or 109866 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 69.

The spelling of 3976288912680 in words is "three trillion, nine hundred seventy-six billion, two hundred eighty-eight million, nine hundred twelve thousand, six hundred eighty".