34334562864 has 160 divisors (see below), whose sum is σ = 110146600960. Its totient is φ = 8993721600.

The previous prime is 34334562841. The next prime is 34334562919. The reversal of 34334562864 is 46826543343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111159 + ... + 284649.

It is an arithmetic number, because the mean of its divisors is an integer number (688416256).

Almost surely, 2^34334562864 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 34334562864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55073300480).

34334562864 is an abundant number, since it is smaller than the sum of its proper divisors (75812038096).

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

34334562864 is a wasteful number, since it uses less digits than its factorization.

34334562864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173559 (or 173553 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 48.

The spelling of 34334562864 in words is "thirty-four billion, three hundred thirty-four million, five hundred sixty-two thousand, eight hundred sixty-four".