34725204409 has 15 divisors (see below), whose sum is σ = 40520983013. Its totient is φ = 29756634348.

The previous prime is 34725204383. The next prime is 34725204469. The reversal of 34725204409 is 90440252743.

The square root of 34725204409 is 186347.

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

It is not a de Polignac number, because 34725204409 - 2¹⁵ = 34725171641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34725204469) 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, 9129102 + ... + 9132904.

Almost surely, 2^34725204409 is an apocalyptic number.

34725204409 is the 186347-th square number.

34725204409 is the 93174-th centered octagonal number.

It is an amenable number.

34725204409 is a deficient number, since it is larger than the sum of its proper divisors (5795778604).

34725204409 is an frugal number, since it uses more digits than its factorization.

34725204409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634 (or 3810 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 34725204409 in words is "thirty-four billion, seven hundred twenty-five million, two hundred four thousand, four hundred nine".