3958476326464 has 189 divisors, whose sum is σ = 9035029158379. Its totient is φ = 1719325822720.

The previous prime is 3958476326449. The next prime is 3958476326543. The reversal of 3958476326464 is 4646236748593.

It is a happy number.

The square root of 3958476326464 is 1989592.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3958476326464.

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 26 ways as a sum of consecutive naturals, for example, 4026933717 + ... + 4026934699.

Almost surely, 2^{3958476326464} is an apocalyptic number.

3958476326464 is the 1989592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3958476326464

3958476326464 is an abundant number, since it is smaller than the sum of its proper divisors (5076552831915).

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

3958476326464 is an frugal number, since it uses more digits than its factorization.

3958476326464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 1019 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 67.

The spelling of 3958476326464 in words is "three trillion, nine hundred fifty-eight billion, four hundred seventy-six million, three hundred twenty-six thousand, four hundred sixty-four".