33945678312 has 256 divisors, whose sum is σ = 110495078400. Its totient is φ = 8439137280.

The previous prime is 33945678281. The next prime is 33945678337. The reversal of 33945678312 is 21387654933.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8753718 + ... + 8757594.

It is an arithmetic number, because the mean of its divisors is an integer number (431621400).

Almost surely, 2^33945678312 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 33945678312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55247539200).

33945678312 is an abundant number, since it is smaller than the sum of its proper divisors (76549400088).

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

33945678312 is a wasteful number, since it uses less digits than its factorization.

33945678312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4132 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The spelling of 33945678312 in words is "thirty-three billion, nine hundred forty-five million, six hundred seventy-eight thousand, three hundred twelve".