34954209120 has 48 divisors (see below), whose sum is σ = 110105760240. Its totient is φ = 9321122304.

The previous prime is 34954209113. The next prime is 34954209151. The reversal of 34954209120 is 2190245943.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 36410155 + ... + 36411114.

It is an arithmetic number, because the mean of its divisors is an integer number (2293870005).

Almost surely, 2^34954209120 is an apocalyptic number.

34954209120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34954209120 is an abundant number, since it is smaller than the sum of its proper divisors (75151551120).

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

34954209120 is a wasteful number, since it uses less digits than its factorization.

34954209120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72821287 (or 72821279 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 34954209120 in words is "thirty-four billion, nine hundred fifty-four million, two hundred nine thousand, one hundred twenty".