3393221832 has 576 divisors, whose sum is σ = 13043721600. Its totient is φ = 769443840.

The previous prime is 3393221813. The next prime is 3393221833. The reversal of 3393221832 is 2381223933.

It is a super-2 number, since 2×3393221832² = 23027908802322872448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (3393221833) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38126044 + ... + 38126132.

It is an arithmetic number, because the mean of its divisors is an integer number (22645350).

Almost surely, 2^3393221832 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 3393221832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521860800).

3393221832 is an abundant number, since it is smaller than the sum of its proper divisors (9650499768).

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

3393221832 is a wasteful number, since it uses less digits than its factorization.

3393221832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 148 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3393221832 is about 58251.3676405971. The cubic root of 3393221832 is about 1502.6946868763.

The spelling of 3393221832 in words is "three billion, three hundred ninety-three million, two hundred twenty-one thousand, eight hundred thirty-two".