3432133344 has 96 divisors (see below), whose sum is σ = 9185218560. Its totient is φ = 1121928192.

The previous prime is 3432133337. The next prime is 3432133363. The reversal of 3432133344 is 4433312343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 1083507 + ... + 1086669.

It is an arithmetic number, because the mean of its divisors is an integer number (95679360).

Almost surely, 2^3432133344 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 3432133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592609280).

3432133344 is an abundant number, since it is smaller than the sum of its proper divisors (5753085216).

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

3432133344 is a wasteful number, since it uses less digits than its factorization.

3432133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3384 counting only the distinct ones).

The product of its digits is 31104, while the sum is 30.

The square root of 3432133344 is about 58584.4121247282. The cubic root of 3432133344 is about 1508.4168815097.

Adding to 3432133344 its reverse (4433312343), we get a palindrome (7865445687).

The spelling of 3432133344 in words is "three billion, four hundred thirty-two million, one hundred thirty-three thousand, three hundred forty-four".