34275414376336 has 160 divisors (see below), whose sum is σ = 78205854504960. Its totient is φ = 14246602444800.

The previous prime is 34275414376297. The next prime is 34275414376361. The reversal of 34275414376336 is 63367341457243.

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, 2791833430 + ... + 2791845706.

It is an arithmetic number, because the mean of its divisors is an integer number (488786590656).

Almost surely, 2^{34275414376336} 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 34275414376336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39102927252480).

34275414376336 is an abundant number, since it is smaller than the sum of its proper divisors (43930440128624).

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

34275414376336 is a wasteful number, since it uses less digits than its factorization.

34275414376336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15873 (or 15867 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 58.

The spelling of 34275414376336 in words is "thirty-four trillion, two hundred seventy-five billion, four hundred fourteen million, three hundred seventy-six thousand, three hundred thirty-six".