3234816000 has 672 divisors, whose sum is σ = 13024091808. Its totient is φ = 796262400.

The previous prime is 3234815977. The next prime is 3234816001. The reversal of 3234816000 is 6184323.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3234816001) 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, 248831994 + ... + 248832006.

It is an arithmetic number, because the mean of its divisors is an integer number (19381089).

Almost surely, 2^3234816000 is an apocalyptic number.

3234816000 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 3234816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6512045904).

3234816000 is an abundant number, since it is smaller than the sum of its proper divisors (9789275808).

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

3234816000 is an frugal number, since it uses more digits than its factorization.

3234816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3234816000 is about 56875.4428554187. The cubic root of 3234816000 is about 1478.9376354598.

The spelling of 3234816000 in words is "three billion, two hundred thirty-four million, eight hundred sixteen thousand".