34518242304 has 528 divisors, whose sum is σ = 124462840320. Its totient is φ = 8971223040.

The previous prime is 34518242237. The next prime is 34518242321. The reversal of 34518242304 is 40324281543.

34518242304 is a `hidden beast` number, since 345 + 1 + 8 + 2 + 4 + 2 + 304 = 666.

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 47 ways as a sum of consecutive naturals, for example, 66253564 + ... + 66254084.

Almost surely, 2^34518242304 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 34518242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62231420160).

34518242304 is an abundant number, since it is smaller than the sum of its proper divisors (89944598016).

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

34518242304 is a wasteful number, since it uses less digits than its factorization.

34518242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 34518242304 in words is "thirty-four billion, five hundred eighteen million, two hundred forty-two thousand, three hundred four".