34022752764 has 384 divisors, whose sum is σ = 109052116992. Its totient is φ = 7971471360.

The previous prime is 34022752739. The next prime is 34022752801. The reversal of 34022752764 is 46725722043.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 132384124 + ... + 132384380.

It is an arithmetic number, because the mean of its divisors is an integer number (283989888).

Almost surely, 2^34022752764 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 34022752764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54526058496).

34022752764 is an abundant number, since it is smaller than the sum of its proper divisors (75029364228).

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

34022752764 is a wasteful number, since it uses less digits than its factorization.

34022752764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 34022752764 in words is "thirty-four billion, twenty-two million, seven hundred fifty-two thousand, seven hundred sixty-four".