3380460991609 has 27 divisors (see below), whose sum is σ = 3682343350413. Its totient is φ = 3101914475712.

The previous prime is 3380460991561. The next prime is 3380460991631. The reversal of 3380460991609 is 9061990640833.

The square root of 3380460991609 is 1838603.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1431365781609 + 1949095210000 = 1196397^2 + 1396100^2 .

It is not a de Polignac number, because 3380460991609 - 2²⁷ = 3380326773881 is a prime.

It is a super-2 number, since 2×3380460991609² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3380460991409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5569128184 + ... + 5569128790.

Almost surely, 2^{3380460991609} is an apocalyptic number.

3380460991609 is the 1838603-rd square number.

3380460991609 is the 919302-nd centered octagonal number.

It is an amenable number.

3380460991609 is a deficient number, since it is larger than the sum of its proper divisors (301882358804).

3380460991609 is an frugal number, since it uses more digits than its factorization.

3380460991609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 58.

The spelling of 3380460991609 in words is "three trillion, three hundred eighty billion, four hundred sixty million, nine hundred ninety-one thousand, six hundred nine".