3381300 has 162 divisors, whose sum is σ = 12124658. Its totient is φ = 783360.

The previous prime is 3381281. The next prime is 3381331. The reversal of 3381300 is 31833.

3381300 is a nontrivial binomial coefficient, being equal to C(2601, 2).

It can be written as a sum of positive squares in 9 ways, for example, as 599076 + 2782224 = 774^2 + 1668^2 .

It is a super-2 number, since 2×3381300² = 22866379380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 198892 + ... + 198908.

Almost surely, 2^3381300 is an apocalyptic number.

3381300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3381300 is the 2600-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062329).

3381300 is an abundant number, since it is smaller than the sum of its proper divisors (8743358).

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

3381300 is a wasteful number, since it uses less digits than its factorization.

3381300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3381300 is about 1838.8311504866. The cubic root of 3381300 is about 150.0932753194.

The spelling of 3381300 in words is "three million, three hundred eighty-one thousand, three hundred".