3284400 has 240 divisors, whose sum is σ = 13284864. Its totient is φ = 675840.

The previous prime is 3284371. The next prime is 3284441. The reversal of 3284400 is 44823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 142789 + ... + 142811.

Almost surely, 2^3284400 is an apocalyptic number.

3284400 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 3284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642432).

3284400 is an abundant number, since it is smaller than the sum of its proper divisors (10000464).

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

3284400 is a wasteful number, since it uses less digits than its factorization.

3284400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3284400 is about 1812.2913673027. The cubic root of 3284400 is about 148.6455849864.

The spelling of 3284400 in words is "three million, two hundred eighty-four thousand, four hundred".