3286400 has 96 divisors (see below), whose sum is σ = 8853600. Its totient is φ = 1198080.

The previous prime is 3286399. The next prime is 3286427. The reversal of 3286400 is 46823.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41561 + ... + 41639.

It is an arithmetic number, because the mean of its divisors is an integer number (92225).

Almost surely, 2^3286400 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 3286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4426800).

3286400 is an abundant number, since it is smaller than the sum of its proper divisors (5567200).

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

3286400 is a wasteful number, since it uses less digits than its factorization.

3286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 3286400 is about 1812.8430709799. The cubic root of 3286400 is about 148.6757509067.

The spelling of 3286400 in words is "three million, two hundred eighty-six thousand, four hundred".