3212442400 has 72 divisors (see below), whose sum is σ = 8303726340. Its totient is φ = 1209384960.

The previous prime is 3212442377. The next prime is 3212442421. The reversal of 3212442400 is 42442123.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 767733264 + 2444709136 = 27708^2 + 49444^2 .

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, 104505 + ... + 131704.

Almost surely, 2^3212442400 is an apocalyptic number.

It is an amenable number.

3212442400 is an abundant number, since it is smaller than the sum of its proper divisors (5091283940).

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

3212442400 is a wasteful number, since it uses less digits than its factorization.

3212442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236246 (or 236233 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3212442400 is about 56678.4121160782. The cubic root of 3212442400 is about 1475.5200540979.

Adding to 3212442400 its reverse (42442123), we get a palindrome (3254884523).

The spelling of 3212442400 in words is "three billion, two hundred twelve million, four hundred forty-two thousand, four hundred".