34751297889 has 135 divisors (see below), whose sum is σ = 66624488931. Its totient is φ = 17985512160.

The previous prime is 34751297849. The next prime is 34751297897. The reversal of 34751297889 is 98879215743.

The square root of 34751297889 is 186417.

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

34751297889 is a `hidden beast` number, since 3 + 47 + 512 + 9 + 78 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2286465489 + 32464832400 = 47817^2 + 180180^2 .

It is not a de Polignac number, because 34751297889 - 2⁹ = 34751297377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (34751297809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 129186847 + ... + 129187115.

Almost surely, 2^34751297889 is an apocalyptic number.

34751297889 is the 186417-th square number.

34751297889 is the 93209-th centered octagonal number.

It is an amenable number.

34751297889 is a deficient number, since it is larger than the sum of its proper divisors (31873191042).

34751297889 is an equidigital number, since it uses as much as digits as its factorization.

34751297889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 290 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 34751297889 in words is "thirty-four billion, seven hundred fifty-one million, two hundred ninety-seven thousand, eight hundred eighty-nine".