34355734609 has 9 divisors (see below), whose sum is σ = 39966343497. Its totient is φ = 29446660404.

The previous prime is 34355734601. The next prime is 34355734661. The reversal of 34355734609 is 90643755343.

The square root of 34355734609 is 185353.

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

It is not a de Polignac number, because 34355734609 - 2³ = 34355734601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34355734601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1284232 + ... + 1310710.

It is an arithmetic number, because the mean of its divisors is an integer number (4440704833).

Almost surely, 2^34355734609 is an apocalyptic number.

34355734609 is the 185353-rd square number.

34355734609 is the 92677-th centered octagonal number.

It is an amenable number.

34355734609 is a deficient number, since it is larger than the sum of its proper divisors (5610608888).

34355734609 is an frugal number, since it uses more digits than its factorization.

34355734609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52972 (or 26486 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 49.

Multiplying 34355734609 by its sum of digits (49), we get a square (1683430995841 = 1297471²).

34355734609 divided by its sum of digits (49) gives a square (701137441 = 26479²).

The spelling of 34355734609 in words is "thirty-four billion, three hundred fifty-five million, seven hundred thirty-four thousand, six hundred nine".