34779000946 has 32 divisors (see below), whose sum is σ = 55223150400. Its totient is φ = 16381854720.

The previous prime is 34779000923. The next prime is 34779000961. The reversal of 34779000946 is 64900097743.

34779000946 = T₁₅₂₂₆₈ + T₁₅₂₂₆₉ + T₁₅₂₂₇₀.

It is a self number, because there is not a number n which added to its sum of digits gives 34779000946.

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 15 ways as a sum of consecutive naturals, for example, 5080486 + ... + 5087326.

It is an arithmetic number, because the mean of its divisors is an integer number (1725723450).

Almost surely, 2^34779000946 is an apocalyptic number.

34779000946 is the 152270-th centered triangular number.

34779000946 is a deficient number, since it is larger than the sum of its proper divisors (20444149454).

34779000946 is a wasteful number, since it uses less digits than its factorization.

34779000946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594.

The product of its (nonzero) digits is 1143072, while the sum is 49.

The spelling of 34779000946 in words is "thirty-four billion, seven hundred seventy-nine million, nine hundred forty-six", and thus it is an aban number.