3242435200 has 96 divisors (see below), whose sum is σ = 8057503260. Its totient is φ = 1289256960.

The previous prime is 3242435137. The next prime is 3242435239. The reversal of 3242435200 is 25342423.

It can be written as a sum of positive squares in 6 ways, for example, as 2721500224 + 520934976 = 52168^2 + 22824^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 550672 + ... + 556528.

Almost surely, 2^3242435200 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 3242435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028751630).

3242435200 is an abundant number, since it is smaller than the sum of its proper divisors (4815068060).

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

3242435200 is a wasteful number, since it uses less digits than its factorization.

3242435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6054 (or 6037 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3242435200 is about 56942.3849166857. The cubic root of 3242435200 is about 1480.0978751926.

Adding to 3242435200 its reverse (25342423), we get a palindrome (3267777623).

The spelling of 3242435200 in words is "three billion, two hundred forty-two million, four hundred thirty-five thousand, two hundred".