3322400 has 36 divisors (see below), whose sum is σ = 8112762. Its totient is φ = 1328640.

The previous prime is 3322399. The next prime is 3322421. The reversal of 3322400 is 42233.

3322400 = T₅₀₃ + T₅₀₄ + ... + T₅₂₇.

It can be written as a sum of positive squares in 3 ways, for example, as 1373584 + 1948816 = 1172^2 + 1396^2 .

It is a super-2 number, since 2×3322400² = 22076683520000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1277 + ... + 2876.

Almost surely, 2^3322400 is an apocalyptic number.

It is an amenable number.

3322400 is an abundant number, since it is smaller than the sum of its proper divisors (4790362).

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

3322400 is a wasteful number, since it uses less digits than its factorization.

3322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3322400 is about 1822.7451824103. The cubic root of 3322400 is about 149.2166570204.

Adding to 3322400 its reverse (42233), we get a palindrome (3364633).

The spelling of 3322400 in words is "three million, three hundred twenty-two thousand, four hundred".