3238285600 has 144 divisors (see below), whose sum is σ = 8684819136. Its totient is φ = 1169280000.

The previous prime is 3238285597. The next prime is 3238285601. The reversal of 3238285600 is 65828323.

It is a self number, because there is not a number n which added to its sum of digits gives 3238285600.

It is not an unprimeable number, because it can be changed into a prime (3238285601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1327582 + ... + 1330018.

It is an arithmetic number, because the mean of its divisors is an integer number (60311244).

Almost surely, 2^3238285600 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 3238285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342409568).

3238285600 is an abundant number, since it is smaller than the sum of its proper divisors (5446533536).

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

3238285600 is a wasteful number, since it uses less digits than its factorization.

3238285600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2619 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 3238285600 is about 56905.9364214315. The cubic root of 3238285600 is about 1479.4662063303.

The spelling of 3238285600 in words is "three billion, two hundred thirty-eight million, two hundred eighty-five thousand, six hundred".