3456732474441 has 45 divisors (see below), whose sum is σ = 5187591664101. Its totient is φ = 2293901866368.

The previous prime is 3456732474431. The next prime is 3456732474473. The reversal of 3456732474441 is 1444742376543.

It is a happy number.

The square root of 3456732474441 is 1859229.

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

3456732474441 is a `hidden beast` number, since 3 + 4 + 567 + 3 + 2 + 4 + 74 + 4 + 4 + 1 = 666.

3456732474441 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2344509130041 + 1112223344400 = 1531179^2 + 1054620^2 .

It is not a de Polignac number, because 3456732474441 - 2³⁵ = 3422372736073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3456732474421) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5639041251 + ... + 5639041863.

Almost surely, 2^{3456732474441} is an apocalyptic number.

3456732474441 is the 1859229-th square number.

3456732474441 is the 929615-th centered octagonal number.

It is an amenable number.

3456732474441 is a deficient number, since it is larger than the sum of its proper divisors (1730859189660).

3456732474441 is an frugal number, since it uses more digits than its factorization.

3456732474441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 953 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 54.

The spelling of 3456732474441 in words is "three trillion, four hundred fifty-six billion, seven hundred thirty-two million, four hundred seventy-four thousand, four hundred forty-one".