3332400 has 60 divisors (see below), whose sum is σ = 10678632. Its totient is φ = 888320.

The previous prime is 3332393. The next prime is 3332411. The reversal of 3332400 is 42333.

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

It is a super-2 number, since 2×3332400² = 22209779520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3332400.

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, 189 + ... + 2588.

Almost surely, 2^3332400 is an apocalyptic number.

3332400 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 3332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5339316).

3332400 is an abundant number, since it is smaller than the sum of its proper divisors (7346232).

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

3332400 is a wasteful number, since it uses less digits than its factorization.

3332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3332400 is about 1825.4862365956. The cubic root of 3332400 is about 149.3662147690.

Adding to 3332400 its reverse (42333), we get a palindrome (3374733).

The spelling of 3332400 in words is "three million, three hundred thirty-two thousand, four hundred".