3241312000 has 144 divisors (see below), whose sum is σ = 8131032000. Its totient is φ = 1287475200.

The previous prime is 3241311979. The next prime is 3241312033. The reversal of 3241312000 is 2131423.

It is a happy number.

It is a super-2 number, since 2×3241312000² = 21012206962688000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6367746 + ... + 6368254.

It is an arithmetic number, because the mean of its divisors is an integer number (56465500).

Almost surely, 2^3241312000 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 3241312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065516000).

3241312000 is an abundant number, since it is smaller than the sum of its proper divisors (4889720000).

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

3241312000 is an equidigital number, since it uses as much as digits as its factorization.

3241312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3241312000 is about 56932.5214618148. The cubic root of 3241312000 is about 1479.9269503755.

Adding to 3241312000 its reverse (2131423), we get a palindrome (3243443423).

The spelling of 3241312000 in words is "three billion, two hundred forty-one million, three hundred twelve thousand".