3432340032 has 112 divisors (see below), whose sum is σ = 9935821632. Its totient is φ = 1037076480.

The previous prime is 3432340019. The next prime is 3432340033. The reversal of 3432340032 is 2300432343.

It is a super-2 number, since 2×3432340032² = 23561916190539522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3432339984 and 3432340011.

It is not an unprimeable number, because it can be changed into a prime (3432340033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785598 + ... + 789954.

Almost surely, 2^3432340032 is an apocalyptic number.

3432340032 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 3432340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967910816).

3432340032 is an abundant number, since it is smaller than the sum of its proper divisors (6503481600).

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

3432340032 is a wasteful number, since it uses less digits than its factorization.

3432340032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3432340032 is about 58586.1761168964. The cubic root of 3432340032 is about 1508.4471605790.

Adding to 3432340032 its reverse (2300432343), we get a palindrome (5732772375).

The spelling of 3432340032 in words is "three billion, four hundred thirty-two million, three hundred forty thousand, thirty-two".