3326400 has 336 divisors, whose sum is σ = 15118080. Its totient is φ = 691200.

The previous prime is 3326399. The next prime is 3326413. The reversal of 3326400 is 46233.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3326400² = 22129873920000, 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 47 ways as a sum of consecutive naturals, for example, 302395 + ... + 302405.

Almost surely, 2^3326400 is an apocalyptic number.

3326400 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 3326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7559040).

3326400 is an abundant number, since it is smaller than the sum of its proper divisors (11791680).

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

3326400 is a wasteful number, since it uses less digits than its factorization.

3326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 28 counting only the distinct ones).

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

The square root of 3326400 is about 1823.8420984285. The cubic root of 3326400 is about 149.2765160837.

The spelling of 3326400 in words is "three million, three hundred twenty-six thousand, four hundred".