3381331200 has 864 divisors, whose sum is σ = 13625794560. Its totient is φ = 729907200.

The previous prime is 3381331171. The next prime is 3381331201. The reversal of 3381331200 is 21331833.

It is a super-2 number, since 2×3381331200² = 22866801368186880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381331201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109075185 + ... + 109075215.

Almost surely, 2^3381331200 is an apocalyptic number.

3381331200 is a gapful number since it is divisible by the number (30) 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 3381331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6812897280).

3381331200 is an abundant number, since it is smaller than the sum of its proper divisors (10244463360).

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

3381331200 is a wasteful number, since it uses less digits than its factorization.

3381331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3381331200 is about 58149.2149560078. The cubic root of 3381331200 is about 1500.9373696590.

The spelling of 3381331200 in words is "three billion, three hundred eighty-one million, three hundred thirty-one thousand, two hundred".