34320132032 has 112 divisors (see below), whose sum is σ = 74397229920. Its totient is φ = 15642427392.

The previous prime is 34320131971. The next prime is 34320132053. The reversal of 34320132032 is 23023102343.

It is a junction number, because it is equal to n+sod(n) for n = 34320131989 and 34320132007.

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, 9377819 + ... + 9381477.

Almost surely, 2^34320132032 is an apocalyptic number.

34320132032 is a gapful number since it is divisible by the number (32) 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 34320132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37198614960).

34320132032 is an abundant number, since it is smaller than the sum of its proper divisors (40077097888).

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

34320132032 is a wasteful number, since it uses less digits than its factorization.

34320132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 34320132032 its reverse (23023102343), we get a palindrome (57343234375).

The spelling of 34320132032 in words is "thirty-four billion, three hundred twenty million, one hundred thirty-two thousand, thirty-two".