3280400 has 60 divisors (see below), whose sum is σ = 8072400. Its totient is φ = 1280640.

The previous prime is 3280391. The next prime is 3280423. The reversal of 3280400 is 40823.

It is a super-2 number, since 2×3280400² = 21522048320000, which contains 22 as substring.

It is a plaindrome in base 12.

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, 23531 + ... + 23669.

It is an arithmetic number, because the mean of its divisors is an integer number (134540).

Almost surely, 2^3280400 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 3280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036200).

3280400 is an abundant number, since it is smaller than the sum of its proper divisors (4792000).

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

3280400 is a wasteful number, since it uses less digits than its factorization.

3280400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 3280400 is about 1811.1874557869. The cubic root of 3280400 is about 148.5852163874.

The spelling of 3280400 in words is "three million, two hundred eighty thousand, four hundred".