3434613399441 has 135 divisors (see below), whose sum is σ = 6244046615961. Its totient is φ = 1875836427696.

The previous prime is 3434613399379. The next prime is 3434613399493. The reversal of 3434613399441 is 1449933164343.

The square root of 3434613399441 is 1853271.

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

3434613399441 is a `hidden beast` number, since 3 + 43 + 46 + 1 + 33 + 99 + 441 = 666.

It is not a de Polignac number, because 3434613399441 - 2²¹ = 3434611302289 is a prime.

It is a super-2 number, since 2×3434613399441² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3434613399541) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2685389040 + ... + 2685390318.

Almost surely, 2^{3434613399441} is an apocalyptic number.

3434613399441 is the 1853271-st square number.

3434613399441 is the 926636-th centered octagonal number.

It is an amenable number.

3434613399441 is a deficient number, since it is larger than the sum of its proper divisors (2809433216520).

3434613399441 is an frugal number, since it uses more digits than its factorization.

3434613399441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 1312 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 3434613399441 in words is "three trillion, four hundred thirty-four billion, six hundred thirteen million, three hundred ninety-nine thousand, four hundred forty-one".