3975334142976 has 1485 divisors, whose sum is σ = 14779298267811. Its totient is φ = 1061160984576.

The previous prime is 3975334142971. The next prime is 3975334142993. The reversal of 3975334142976 is 6792414335793.

The square root of 3975334142976 is 1993824.

It is a perfect power (a square), and thus also a powerful number.

3975334142976 is a `hidden beast` number, since 3 + 9 + 7 + 5 + 334 + 1 + 4 + 297 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3975334142971) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 92449631211 + ... + 92449631253.

Almost surely, 2^{3975334142976} is an apocalyptic number.

3975334142976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3975334142976 is the 1993824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3975334142976

3975334142976 is an abundant number, since it is smaller than the sum of its proper divisors (10803964124835).

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

3975334142976 is an equidigital number, since it uses as much as digits as its factorization.

3975334142976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 78 counting only the distinct ones).

The product of its digits is 102876480, while the sum is 63.

The spelling of 3975334142976 in words is "three trillion, nine hundred seventy-five billion, three hundred thirty-four million, one hundred forty-two thousand, nine hundred seventy-six".