3214125200 has 240 divisors, whose sum is σ = 9194786496. Its totient is φ = 1064294400.

The previous prime is 3214125181. The next prime is 3214125209. The reversal of 3214125200 is 25214123.

3214125200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3214125209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4747262 + ... + 4747938.

Almost surely, 2^3214125200 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 3214125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597393248).

3214125200 is an abundant number, since it is smaller than the sum of its proper divisors (5980661296).

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

3214125200 is a wasteful number, since it uses less digits than its factorization.

3214125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3214125200 is about 56693.2553307710. The cubic root of 3214125200 is about 1475.7776537059. Note that the first 3 decimals are identical.

Adding to 3214125200 its reverse (25214123), we get a palindrome (3239339323).

The spelling of 3214125200 in words is "three billion, two hundred fourteen million, one hundred twenty-five thousand, two hundred".