3362400 has 108 divisors (see below), whose sum is σ = 11882052. Its totient is φ = 894720.

The previous prime is 3362399. The next prime is 3362417. The reversal of 3362400 is 42633.

It is a super-2 number, since 2×3362400² = 22611467520000, 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 17 ways as a sum of consecutive naturals, for example, 6967 + ... + 7433.

It is an arithmetic number, because the mean of its divisors is an integer number (110019).

Almost surely, 2^3362400 is an apocalyptic number.

3362400 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 3362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941026).

3362400 is an abundant number, since it is smaller than the sum of its proper divisors (8519652).

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

3362400 is a wasteful number, since it uses less digits than its factorization.

3362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3362400 is about 1833.6848147923. The cubic root of 3362400 is about 149.8131005540.

The spelling of 3362400 in words is "three million, three hundred sixty-two thousand, four hundred".