3242642304 has 128 divisors (see below), whose sum is σ = 9805121280. Its totient is φ = 939868160.

The previous prime is 3242642233. The next prime is 3242642309. The reversal of 3242642304 is 4032462423.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3242642304² = 21029458223380856832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242642309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80464 + ... + 113840.

It is an arithmetic number, because the mean of its divisors is an integer number (76602510).

Almost surely, 2^3242642304 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 3242642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902560640).

3242642304 is an abundant number, since it is smaller than the sum of its proper divisors (6562478976).

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

3242642304 is a wasteful number, since it uses less digits than its factorization.

3242642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33428 (or 33416 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3242642304 is about 56944.2034275658. The cubic root of 3242642304 is about 1480.1293872759.

It can be divided in two parts, 3242 and 642304, that added together give a palindrome (645546).

The spelling of 3242642304 in words is "three billion, two hundred forty-two million, six hundred forty-two thousand, three hundred four".