3320400 has 60 divisors (see below), whose sum is σ = 10640192. Its totient is φ = 885120.

The previous prime is 3320381. The next prime is 3320431. The reversal of 3320400 is 40233.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3320400² = 22050112320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184 + ... + 2583.

Almost surely, 2^3320400 is an apocalyptic number.

3320400 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 3320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320096).

3320400 is an abundant number, since it is smaller than the sum of its proper divisors (7319792).

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

3320400 is a wasteful number, since it uses less digits than its factorization.

3320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2788 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3320400 is about 1822.1964767829. The cubic root of 3320400 is about 149.1867094708.

Adding to 3320400 its reverse (40233), we get a palindrome (3360633).

The spelling of 3320400 in words is "three million, three hundred twenty thousand, four hundred".