34505912320 has 208 divisors, whose sum is σ = 91399764960. Its totient is φ = 12399411200.

The previous prime is 34505912269. The next prime is 34505912347. The reversal of 34505912320 is 2321950543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20049060 + ... + 20050780.

Almost surely, 2^34505912320 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 34505912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45699882480).

34505912320 is an abundant number, since it is smaller than the sum of its proper divisors (56893852640).

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

34505912320 is a wasteful number, since it uses less digits than its factorization.

34505912320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 34505912320 in words is "thirty-four billion, five hundred five million, nine hundred twelve thousand, three hundred twenty".