34240952304 has 120 divisors (see below), whose sum is σ = 104505186240. Its totient is φ = 10402269696.

The previous prime is 34240952287. The next prime is 34240952321. The reversal of 34240952304 is 40325904243.

34240952304 is a `hidden beast` number, since 342 + 4 + 0 + 9 + 5 + 2 + 304 = 666.

It is an interprime number because it is at equal distance from previous prime (34240952287) and next prime (34240952321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 32122 + ... + 263654.

It is an arithmetic number, because the mean of its divisors is an integer number (870876552).

Almost surely, 2^34240952304 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 34240952304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52252593120).

34240952304 is an abundant number, since it is smaller than the sum of its proper divisors (70264233936).

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

34240952304 is a wasteful number, since it uses less digits than its factorization.

34240952304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231639 (or 231630 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 34240952304 in words is "thirty-four billion, two hundred forty million, nine hundred fifty-two thousand, three hundred four".