34249585824 has 144 divisors (see below), whose sum is σ = 99891792000. Its totient is φ = 11126200320.

The previous prime is 34249585817. The next prime is 34249585831. The reversal of 34249585824 is 42858594243.

34249585824 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 9 + 58 + 582 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34249585817) and next prime (34249585831).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3256927 + ... + 3267425.

It is an arithmetic number, because the mean of its divisors is an integer number (693693000).

Almost surely, 2^34249585824 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 34249585824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49945896000).

34249585824 is an abundant number, since it is smaller than the sum of its proper divisors (65642206176).

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

34249585824 is a wasteful number, since it uses less digits than its factorization.

34249585824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10803 (or 10792 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 34249585824 in words is "thirty-four billion, two hundred forty-nine million, five hundred eighty-five thousand, eight hundred twenty-four".