34222868064 has 576 divisors, whose sum is σ = 128028805632. Its totient is φ = 8734003200.

The previous prime is 34222868047. The next prime is 34222868087. The reversal of 34222868064 is 46086822243.

34222868064 is a `hidden beast` number, since 342 + 228 + 6 + 80 + 6 + 4 = 666.

It is a super-2 number, since 2×34222868064² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36523404 + ... + 36524340.

It is an arithmetic number, because the mean of its divisors is an integer number (222272232).

Almost surely, 2^34222868064 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 34222868064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64014402816).

34222868064 is an abundant number, since it is smaller than the sum of its proper divisors (93805937568).

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

34222868064 is a wasteful number, since it uses less digits than its factorization.

34222868064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 34222868064 in words is "thirty-four billion, two hundred twenty-two million, eight hundred sixty-eight thousand, sixty-four".