34258916412 has 96 divisors (see below), whose sum is σ = 101869770240. Its totient is φ = 9753367680.

The previous prime is 34258916389. The next prime is 34258916491. The reversal of 34258916412 is 21461985243.

34258916412 is a `hidden beast` number, since 3 + 4 + 2 + 589 + 1 + 64 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131803 + ... + 293069.

It is an arithmetic number, because the mean of its divisors is an integer number (1061143440).

Almost surely, 2^34258916412 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 34258916412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50934885120).

34258916412 is an abundant number, since it is smaller than the sum of its proper divisors (67610853828).

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

34258916412 is a wasteful number, since it uses less digits than its factorization.

34258916412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161568 (or 161560 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 34258916412 in words is "thirty-four billion, two hundred fifty-eight million, nine hundred sixteen thousand, four hundred twelve".