34024644864 has 720 divisors, whose sum is σ = 122870563200. Its totient is φ = 9159671808.

The previous prime is 34024644847. The next prime is 34024644869. The reversal of 34024644864 is 46844642043.

34024644864 is a `hidden beast` number, since 340 + 246 + 4 + 4 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (34024644869) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 248355004 + ... + 248355140.

It is an arithmetic number, because the mean of its divisors is an integer number (170653560).

Almost surely, 2^34024644864 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 34024644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61435281600).

34024644864 is an abundant number, since it is smaller than the sum of its proper divisors (88845918336).

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

34024644864 is a wasteful number, since it uses less digits than its factorization.

34024644864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 34024644864 in words is "thirty-four billion, twenty-four million, six hundred forty-four thousand, eight hundred sixty-four".