3976187746080 has 192 divisors, whose sum is σ = 13673187980928. Its totient is φ = 963249807360.

The previous prime is 3976187746057. The next prime is 3976187746099. The reversal of 3976187746080 is 806477816793.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7303482 + ... + 7828998.

It is an arithmetic number, because the mean of its divisors is an integer number (71214520734).

Almost surely, 2^{3976187746080} is an apocalyptic number.

3976187746080 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 3976187746080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836593990464).

3976187746080 is an abundant number, since it is smaller than the sum of its proper divisors (9697000234848).

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

3976187746080 is a wasteful number, since it uses less digits than its factorization.

3976187746080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526979 (or 526971 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 66.

The spelling of 3976187746080 in words is "three trillion, nine hundred seventy-six billion, one hundred eighty-seven million, seven hundred forty-six thousand, eighty".