34308001776 has 240 divisors, whose sum is σ = 98305315200. Its totient is φ = 10294276608.

The previous prime is 34308001769. The next prime is 34308001807. The reversal of 34308001776 is 67710080343.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33667795 + ... + 33668813.

It is an arithmetic number, because the mean of its divisors is an integer number (409605480).

Almost surely, 2^34308001776 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 34308001776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49152657600).

34308001776 is an abundant number, since it is smaller than the sum of its proper divisors (63997313424).

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

34308001776 is a wasteful number, since it uses less digits than its factorization.

34308001776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 34308001776 in words is "thirty-four billion, three hundred eight million, one thousand, seven hundred seventy-six".