3284125200 has 180 divisors, whose sum is σ = 11480567280. Its totient is φ = 869333760.

The previous prime is 3284125193. The next prime is 3284125211. The reversal of 3284125200 is 25214823.

3284125200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 497119 + ... + 503681.

Almost surely, 2^3284125200 is an apocalyptic number.

3284125200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3284125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740283640).

3284125200 is an abundant number, since it is smaller than the sum of its proper divisors (8196442080).

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

3284125200 is a wasteful number, since it uses less digits than its factorization.

3284125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3284125200 is about 57307.2874946983. The cubic root of 3284125200 is about 1486.4143923209.

The spelling of 3284125200 in words is "three billion, two hundred eighty-four million, one hundred twenty-five thousand, two hundred".