3213325200 has 120 divisors (see below), whose sum is σ = 10372434336. Its totient is φ = 850304000.

The previous prime is 3213325177. The next prime is 3213325207. The reversal of 3213325200 is 25233123.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (3213325207) 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, 146980 + ... + 167420.

Almost surely, 2^3213325200 is an apocalyptic number.

3213325200 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 3213325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186217168).

3213325200 is an abundant number, since it is smaller than the sum of its proper divisors (7159109136).

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

3213325200 is a wasteful number, since it uses less digits than its factorization.

3213325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20593 (or 20582 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3213325200 is about 56686.1993786848. The cubic root of 3213325200 is about 1475.6552025447.

Adding to 3213325200 its reverse (25233123), we get a palindrome (3238558323).

The spelling of 3213325200 in words is "three billion, two hundred thirteen million, three hundred twenty-five thousand, two hundred".