34809892312 has 64 divisors (see below), whose sum is σ = 72601804800. Its totient is φ = 15538158720.

The previous prime is 34809892309. The next prime is 34809892321. The reversal of 34809892312 is 21329890843.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 8531889 + ... + 8535967.

It is an arithmetic number, because the mean of its divisors is an integer number (1134403200).

Almost surely, 2^34809892312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34809892312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36300902400).

34809892312 is an abundant number, since it is smaller than the sum of its proper divisors (37791912488).

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

34809892312 is a wasteful number, since it uses less digits than its factorization.

34809892312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6776 (or 6772 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 34809892312 in words is "thirty-four billion, eight hundred nine million, eight hundred ninety-two thousand, three hundred twelve".