34909049772 has 72 divisors (see below), whose sum is σ = 94260072816. Its totient is φ = 10854918144.

The previous prime is 34909049759. The next prime is 34909049783. The reversal of 34909049772 is 27794090943.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 183238 + ... + 321549.

It is an arithmetic number, because the mean of its divisors is an integer number (1309167678).

Almost surely, 2^34909049772 is an apocalyptic number.

It is an amenable number.

34909049772 is an abundant number, since it is smaller than the sum of its proper divisors (59351023044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34909049772 is a wasteful number, since it uses less digits than its factorization.

34909049772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504927 (or 504922 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 34909049772 in words is "thirty-four billion, nine hundred nine million, forty-nine thousand, seven hundred seventy-two".