34004312320 has 72 divisors (see below), whose sum is σ = 88855623360. Its totient is φ = 12365199360.

The previous prime is 34004312317. The next prime is 34004312341. The reversal of 34004312320 is 2321340043.

It is a happy number.

It is a super-2 number, since 2×34004312320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 34004312291 and 34004312300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1193460 + ... + 1221619.

It is an arithmetic number, because the mean of its divisors is an integer number (1234105880).

Almost surely, 2^34004312320 is an apocalyptic number.

It is an amenable number.

34004312320 is an abundant number, since it is smaller than the sum of its proper divisors (54851311040).

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

34004312320 is a wasteful number, since it uses less digits than its factorization.

34004312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415111 (or 2415097 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 34004312320 its reverse (2321340043), we get a palindrome (36325652363).

The spelling of 34004312320 in words is "thirty-four billion, four million, three hundred twelve thousand, three hundred twenty".