3193938432 has 320 divisors, whose sum is σ = 10135065600. Its totient is φ = 990904320.

The previous prime is 3193938431. The next prime is 3193938443. The reversal of 3193938432 is 2348393913.

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

It is not an unprimeable number, because it can be changed into a prime (3193938431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12427648 + ... + 12427904.

It is an arithmetic number, because the mean of its divisors is an integer number (31672080).

Almost surely, 2^3193938432 is an apocalyptic number.

3193938432 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 3193938432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067532800).

3193938432 is an abundant number, since it is smaller than the sum of its proper divisors (6941127168).

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

3193938432 is a wasteful number, since it uses less digits than its factorization.

3193938432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 322 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 3193938432 is about 56514.9399008793. The cubic root of 3193938432 is about 1472.6815526897.

The spelling of 3193938432 in words is "three billion, one hundred ninety-three million, nine hundred thirty-eight thousand, four hundred thirty-two".