34345984320 has 336 divisors, whose sum is σ = 121859966592. Its totient is φ = 8874577920.

The previous prime is 34345984307. The next prime is 34345984369. The reversal of 34345984320 is 2348954343.

34345984320 is a `hidden beast` number, since 3 + 4 + 34 + 598 + 4 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12667765 + ... + 12670475.

It is an arithmetic number, because the mean of its divisors is an integer number (362678472).

Almost surely, 2^34345984320 is an apocalyptic number.

34345984320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34345984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60929983296).

34345984320 is an abundant number, since it is smaller than the sum of its proper divisors (87513982272).

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

34345984320 is a wasteful number, since it uses less digits than its factorization.

34345984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 34345984320 in words is "thirty-four billion, three hundred forty-five million, nine hundred eighty-four thousand, three hundred twenty".