3933086206401 has 81 divisors (see below), whose sum is σ = 6592584106017. Its totient is φ = 2257517362320.

The previous prime is 3933086206393. The next prime is 3933086206409. The reversal of 3933086206401 is 1046026803393.

The square root of 3933086206401 is 1983201.

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

3933086206401 is a `hidden beast` number, since 3 + 9 + 3 + 30 + 8 + 6 + 206 + 401 = 666.

It is an interprime number because it is at equal distance from previous prime (3933086206393) and next prime (3933086206409).

It is not a de Polignac number, because 3933086206401 - 2³ = 3933086206393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3933086206409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1243465446 + ... + 1243468608.

Almost surely, 2^{3933086206401} is an apocalyptic number.

3933086206401 is the 1983201-st square number.

3933086206401 is the 991601-st centered octagonal number.

It is an amenable number.

3933086206401 is a deficient number, since it is larger than the sum of its proper divisors (2659497899616).

3933086206401 is an equidigital number, since it uses as much as digits as its factorization.

3933086206401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3933086206401 in words is "three trillion, nine hundred thirty-three billion, eighty-six million, two hundred six thousand, four hundred one".