3243114000 has 360 divisors, whose sum is σ = 13180024728. Its totient is φ = 741081600.

The previous prime is 3243113977. The next prime is 3243114001. The reversal of 3243114000 is 4113423.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 3233969424 = 3024^2 + 56868^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3243114001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 880162 + ... + 883838.

Almost surely, 2^3243114000 is an apocalyptic number.

3243114000 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 3243114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590012364).

3243114000 is an abundant number, since it is smaller than the sum of its proper divisors (9936910728).

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

3243114000 is a wasteful number, since it uses less digits than its factorization.

3243114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3694 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3243114000 is about 56948.3450154612. The cubic root of 3243114000 is about 1480.2011535697.

Adding to 3243114000 its reverse (4113423), we get a palindrome (3247227423).

The spelling of 3243114000 in words is "three billion, two hundred forty-three million, one hundred fourteen thousand".