34433626969 has 21 divisors (see below), whose sum is σ = 40246909311. Its totient is φ = 29459981880.

The previous prime is 34433626957. The next prime is 34433626999. The reversal of 34433626969 is 96962633443.

The square root of 34433626969 is 185563.

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

It can be written as a sum of positive squares in only one way, i.e., 13680343369 + 20753283600 = 116963^2 + 144060^2 .

It is not a de Polignac number, because 34433626969 - 2⁹ = 34433626457 is a prime.

It is a super-2 number, since 2×34433626969² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34433626999) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 63647839 + ... + 63648379.

It is an arithmetic number, because the mean of its divisors is an integer number (1916519491).

Almost surely, 2^34433626969 is an apocalyptic number.

34433626969 is the 185563-rd square number.

34433626969 is the 92782-nd centered octagonal number.

It is an amenable number.

34433626969 is a deficient number, since it is larger than the sum of its proper divisors (5813282342).

34433626969 is an frugal number, since it uses more digits than its factorization.

34433626969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 548 counting only the distinct ones).

The product of its digits is 15116544, while the sum is 55.

The spelling of 34433626969 in words is "thirty-four billion, four hundred thirty-three million, six hundred twenty-six thousand, nine hundred sixty-nine".