34415310666 has 64 divisors (see below), whose sum is σ = 76879756800. Its totient is φ = 10180309440.

The previous prime is 34415310607. The next prime is 34415310689. The reversal of 34415310666 is 66601351443.

34415310666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 7657516 + ... + 7662008.

It is an arithmetic number, because the mean of its divisors is an integer number (1201246200).

Almost surely, 2^34415310666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34415310666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38439878400).

34415310666 is an abundant number, since it is smaller than the sum of its proper divisors (42464446134).

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

34415310666 is a wasteful number, since it uses less digits than its factorization.

34415310666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7251.

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 34415310666 in words is "thirty-four billion, four hundred fifteen million, three hundred ten thousand, six hundred sixty-six".