3212325600 has 288 divisors, whose sum is σ = 11474265600. Its totient is φ = 774144000.

The previous prime is 3212325583. The next prime is 3212325619. The reversal of 3212325600 is 65232123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7154176 + ... + 7154624.

It is an arithmetic number, because the mean of its divisors is an integer number (39841200).

Almost surely, 2^3212325600 is an apocalyptic number.

3212325600 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 3212325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737132800).

3212325600 is an abundant number, since it is smaller than the sum of its proper divisors (8261940000).

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

3212325600 is a wasteful number, since it uses less digits than its factorization.

3212325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3212325600 is about 56677.3817320455. The cubic root of 3212325600 is about 1475.5021712527.

Adding to 3212325600 its reverse (65232123), we get a palindrome (3277557723).

The spelling of 3212325600 in words is "three billion, two hundred twelve million, three hundred twenty-five thousand, six hundred".