3273312000 has 288 divisors, whose sum is σ = 12428043264. Its totient is φ = 748032000.

The previous prime is 3273311989. The next prime is 3273312023. The reversal of 3273312000 is 2133723.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669565 + ... + 674435.

It is an arithmetic number, because the mean of its divisors is an integer number (43152928).

Almost surely, 2^3273312000 is an apocalyptic number.

3273312000 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 3273312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214021632).

3273312000 is an abundant number, since it is smaller than the sum of its proper divisors (9154731264).

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

3273312000 is an equidigital number, since it uses as much as digits as its factorization.

3273312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4912 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 3273312000 is about 57212.8656859626. The cubic root of 3273312000 is about 1484.7812259195.

Adding to 3273312000 its reverse (2133723), we get a palindrome (3275445723).

The spelling of 3273312000 in words is "three billion, two hundred seventy-three million, three hundred twelve thousand".