3905704988641 has 8 divisors (see below), whose sum is σ = 4135924959624. Its totient is φ = 3675537530880.

The previous prime is 3905704988629. The next prime is 3905704988707. The reversal of 3905704988641 is 1468894075093.

It can be written as a sum of positive squares in 4 ways, for example, as 1168731804241 + 2736973184400 = 1081079^2 + 1654380^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3905704988641 - 2⁷ = 3905704988513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3905704988611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12975120 + ... + 13272721.

It is an arithmetic number, because the mean of its divisors is an integer number (516990619953).

Almost surely, 2^{3905704988641} is an apocalyptic number.

It is an amenable number.

3905704988641 is a deficient number, since it is larger than the sum of its proper divisors (230219970983).

3905704988641 is a wasteful number, since it uses less digits than its factorization.

3905704988641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26256611.

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 3905704988641 in words is "three trillion, nine hundred five billion, seven hundred four million, nine hundred eighty-eight thousand, six hundred forty-one".