34667833249 has 27 divisors (see below), whose sum is σ = 41042160243. Its totient is φ = 29198041488.

The previous prime is 34667833229. The next prime is 34667833267. The reversal of 34667833249 is 94233876643.

It is a happy number.

The square root of 34667833249 is 186193.

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., 23233380625 + 11434452624 = 152425^2 + 106932^2 .

It is not a de Polignac number, because 34667833249 - 2⁷ = 34667833121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34667833249.

It is not an unprimeable number, because it can be changed into a prime (34667833229) 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, 87324319 + ... + 87324715.

It is an arithmetic number, because the mean of its divisors is an integer number (1520080009).

Almost surely, 2^34667833249 is an apocalyptic number.

34667833249 is the 186193-rd square number.

34667833249 is the 93097-th centered octagonal number.

It is an amenable number.

34667833249 is a deficient number, since it is larger than the sum of its proper divisors (6374326994).

34667833249 is an frugal number, since it uses more digits than its factorization.

34667833249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 471 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 55.

The spelling of 34667833249 in words is "thirty-four billion, six hundred sixty-seven million, eight hundred thirty-three thousand, two hundred forty-nine".