34321401440032 has 24 divisors (see below), whose sum is σ = 77223153240576. Its totient is φ = 14709172045632.

The previous prime is 34321401440017. The next prime is 34321401440113. The reversal of 34321401440032 is 23004410412343.

It is a super-2 number, since 2×34321401440032² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34321401439976 and 34321401440003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76610270848 + ... + 76610271295.

It is an arithmetic number, because the mean of its divisors is an integer number (3217631385024).

Almost surely, 2^{34321401440032} is an apocalyptic number.

34321401440032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34321401440032 is an abundant number, since it is smaller than the sum of its proper divisors (42901751800544).

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

34321401440032 is a wasteful number, since it uses less digits than its factorization.

34321401440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153220542160 (or 153220542152 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 34321401440032 its reverse (23004410412343), we get a palindrome (57325811852375).

The spelling of 34321401440032 in words is "thirty-four trillion, three hundred twenty-one billion, four hundred one million, four hundred forty thousand, thirty-two".