3904137340321 has 15 divisors (see below), whose sum is σ = 3975175969711. Its totient is φ = 3834362772064.

The previous prime is 3904137340309. The next prime is 3904137340361. The reversal of 3904137340321 is 1230437314093.

The square root of 3904137340321 is 1975889.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3259328340321 + 644809000000 = 1805361^2 + 803000^2 .

It is not a de Polignac number, because 3904137340321 - 2³¹ = 3901989856673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3904137340361) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 26202263955 + ... + 26202264103.

Almost surely, 2^{3904137340321} is an apocalyptic number.

3904137340321 is the 1975889-th square number.

3904137340321 is the 987945-th centered octagonal number.

It is an amenable number.

3904137340321 is a deficient number, since it is larger than the sum of its proper divisors (71038629390).

3904137340321 is an frugal number, since it uses more digits than its factorization.

3904137340321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 3904137340321 in words is "three trillion, nine hundred four billion, one hundred thirty-seven million, three hundred forty thousand, three hundred twenty-one".