34320065952 has 48 divisors (see below), whose sum is σ = 91567076832. Its totient is φ = 11252478720.

The previous prime is 34320065909. The next prime is 34320065971. The reversal of 34320065952 is 25956002343.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34320065952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2924478 + ... + 2936189.

It is an arithmetic number, because the mean of its divisors is an integer number (1907647434).

Almost surely, 2^34320065952 is an apocalyptic number.

34320065952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34320065952 is an abundant number, since it is smaller than the sum of its proper divisors (57247010880).

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

34320065952 is a wasteful number, since it uses less digits than its factorization.

34320065952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860741 (or 5860733 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 34320065952 in words is "thirty-four billion, three hundred twenty million, sixty-five thousand, nine hundred fifty-two".