34666364904 has 128 divisors (see below), whose sum is σ = 90562060800. Its totient is φ = 11049891840.

The previous prime is 34666364893. The next prime is 34666364917. The reversal of 34666364904 is 40946366643.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10801252 + ... + 10804460.

It is an arithmetic number, because the mean of its divisors is an integer number (707516100).

Almost surely, 2^34666364904 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 34666364904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45281030400).

34666364904 is an abundant number, since it is smaller than the sum of its proper divisors (55895695896).

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

34666364904 is a wasteful number, since it uses less digits than its factorization.

34666364904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 51.

The spelling of 34666364904 in words is "thirty-four billion, six hundred sixty-six million, three hundred sixty-four thousand, nine hundred four".