3976111920000 has 320 divisors, whose sum is σ = 14397510821760. Its totient is φ = 963905280000.

The previous prime is 3976111919977. The next prime is 3976111920013. The reversal of 3976111920000 is 291116793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1886949 + ... + 3393051.

It is an arithmetic number, because the mean of its divisors is an integer number (44992221318).

Almost surely, 2^{3976111920000} is an apocalyptic number.

3976111920000 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 3976111920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7198755410880).

3976111920000 is an abundant number, since it is smaller than the sum of its proper divisors (10421398901760).

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

3976111920000 is a wasteful number, since it uses less digits than its factorization.

3976111920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506151 (or 1506124 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The spelling of 3976111920000 in words is "three trillion, nine hundred seventy-six billion, one hundred eleven million, nine hundred twenty thousand".