3432142240 has 96 divisors (see below), whose sum is σ = 8606352384. Its totient is φ = 1288949760.

The previous prime is 3432142193. The next prime is 3432142243. The reversal of 3432142240 is 422412343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3432142243) 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, 1323345 + ... + 1325935.

It is an arithmetic number, because the mean of its divisors is an integer number (89649504).

Almost surely, 2^3432142240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3432142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303176192).

3432142240 is an abundant number, since it is smaller than the sum of its proper divisors (5174210144).

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

3432142240 is a wasteful number, since it uses less digits than its factorization.

3432142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 3432142240 is about 58584.4880493122. The cubic root of 3432142240 is about 1508.4181847677.

Adding to 3432142240 its reverse (422412343), we get a palindrome (3854554583).

The spelling of 3432142240 in words is "three billion, four hundred thirty-two million, one hundred forty-two thousand, two hundred forty".