3381600 has 72 divisors (see below), whose sum is σ = 11014920. Its totient is φ = 901120.

The previous prime is 3381569. The next prime is 3381613. The reversal of 3381600 is 61833.

It is a super-2 number, since 2×3381600² = 22870437120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1696 + ... + 3104.

It is an arithmetic number, because the mean of its divisors is an integer number (152985).

Almost surely, 2^3381600 is an apocalyptic number.

3381600 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 3381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507460).

3381600 is an abundant number, since it is smaller than the sum of its proper divisors (7633320).

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

3381600 is a wasteful number, since it uses less digits than its factorization.

3381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3381600 is about 1838.9127222356. The cubic root of 3381600 is about 150.0977141103.

The spelling of 3381600 in words is "three million, three hundred eighty-one thousand, six hundred".