3381400 has 96 divisors (see below), whose sum is σ = 9039600. Its totient is φ = 1164800.

The previous prime is 3381361. The next prime is 3381401. The reversal of 3381400 is 41833.

It is a super-2 number, since 2×3381400² = 22867731920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63774 + ... + 63826.

Almost surely, 2^3381400 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 3381400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519800).

3381400 is an abundant number, since it is smaller than the sum of its proper divisors (5658200).

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

3381400 is a wasteful number, since it uses less digits than its factorization.

3381400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3381400 is about 1838.8583414717. The cubic root of 3381400 is about 150.0947549455.

The spelling of 3381400 in words is "three million, three hundred eighty-one thousand, four hundred".