3246400 has 42 divisors (see below), whose sum is σ = 7992110. Its totient is φ = 1297920.

The previous prime is 3246367. The next prime is 3246401. The reversal of 3246400 is 46423.

It can be written as a sum of positive squares in 3 ways, for example, as 1032256 + 2214144 = 1016^2 + 1488^2 .

It is a super-2 number, since 2×3246400² = 21078225920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3246401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 586 + ... + 2614.

Almost surely, 2^3246400 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 3246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996055).

3246400 is an abundant number, since it is smaller than the sum of its proper divisors (4745710).

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

3246400 is a wasteful number, since it uses less digits than its factorization.

3246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3246400 is about 1801.7769007288. The cubic root of 3246400 is about 148.0700909788.

It can be divided in two parts, 324 and 6400, that multiplied together give a square (2073600 = 1440²).

The spelling of 3246400 in words is "three million, two hundred forty-six thousand, four hundred".