3432322130432 has 80 divisors (see below), whose sum is σ = 7387518757080. Its totient is φ = 1583710175232.

The previous prime is 3432322130429. The next prime is 3432322130527. The reversal of 3432322130432 is 2340312232343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2162499655936 + 1269822474496 = 1470544^2 + 1126864^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 24617588 + ... + 24756620.

Almost surely, 2^{3432322130432} is an apocalyptic number.

3432322130432 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 3432322130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693759378540).

3432322130432 is an abundant number, since it is smaller than the sum of its proper divisors (3955196626648).

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

3432322130432 is a wasteful number, since it uses less digits than its factorization.

3432322130432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142773 (or 142757 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 3432322130432 its reverse (2340312232343), we get a palindrome (5772634362775).

The spelling of 3432322130432 in words is "three trillion, four hundred thirty-two billion, three hundred twenty-two million, one hundred thirty thousand, four hundred thirty-two".