3361400 has 72 divisors (see below), whose sum is σ = 9117720. Its totient is φ = 1152480.

The previous prime is 3361387. The next prime is 3361429. The reversal of 3361400 is 41633.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3361400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3361400² = 22598019920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 480197 + ... + 480203.

It is an arithmetic number, because the mean of its divisors is an integer number (126635).

Almost surely, 2^3361400 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 3361400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558860).

3361400 is an abundant number, since it is smaller than the sum of its proper divisors (5756320).

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

3361400 is an frugal number, since it uses more digits than its factorization.

3361400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3361400 is about 1833.4121195192. The cubic root of 3361400 is about 149.7982472791.

The spelling of 3361400 in words is "three million, three hundred sixty-one thousand, four hundred".