34294395296 has 96 divisors (see below), whose sum is σ = 79915917312. Its totient is φ = 14176270080.

The previous prime is 34294395271. The next prime is 34294395319. The reversal of 34294395296 is 69259349243.

It is a happy number.

It is a super-2 number, since 2×34294395296² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2123765 + ... + 2139851.

It is an arithmetic number, because the mean of its divisors is an integer number (832457472).

Almost surely, 2^34294395296 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 34294395296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39957958656).

34294395296 is an abundant number, since it is smaller than the sum of its proper divisors (45621522016).

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

34294395296 is a wasteful number, since it uses less digits than its factorization.

34294395296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16442 (or 16434 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 56.

The spelling of 34294395296 in words is "thirty-four billion, two hundred ninety-four million, three hundred ninety-five thousand, two hundred ninety-six".