3382331232 has 192 divisors, whose sum is σ = 10535616000. Its totient is φ = 949455360.

The previous prime is 3382331221. The next prime is 3382331243. The reversal of 3382331232 is 2321332833.

It is an interprime number because it is at equal distance from previous prime (3382331221) and next prime (3382331243).

It is a super-2 number, since 2×3382331232² = 22880329125925275648, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3382331232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1941882 + ... + 1943622.

It is an arithmetic number, because the mean of its divisors is an integer number (54873000).

Almost surely, 2^3382331232 is an apocalyptic number.

3382331232 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 3382331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267808000).

3382331232 is an abundant number, since it is smaller than the sum of its proper divisors (7153284768).

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

3382331232 is a wasteful number, since it uses less digits than its factorization.

3382331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1812 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 3382331232 is about 58157.8131638390. The cubic root of 3382331232 is about 1501.0853229711.

The spelling of 3382331232 in words is "three billion, three hundred eighty-two million, three hundred thirty-one thousand, two hundred thirty-two".