34292212864 has 384 divisors, whose sum is σ = 91326654720. Its totient is φ = 12483624960.

The previous prime is 34292212861. The next prime is 34292212883. The reversal of 34292212864 is 46821229243.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34292212864.

It is not an unprimeable number, because it can be changed into a prime (34292212861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205342509 + ... + 205342675.

It is an arithmetic number, because the mean of its divisors is an integer number (237829830).

Almost surely, 2^34292212864 is an apocalyptic number.

34292212864 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34292212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45663327360).

34292212864 is an abundant number, since it is smaller than the sum of its proper divisors (57034441856).

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

34292212864 is a wasteful number, since it uses less digits than its factorization.

34292212864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 267 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The spelling of 34292212864 in words is "thirty-four billion, two hundred ninety-two million, two hundred twelve thousand, eight hundred sixty-four".