3325344000 has 576 divisors, whose sum is σ = 12489265152. Its totient is φ = 777216000.

The previous prime is 3325343981. The next prime is 3325344013. The reversal of 3325344000 is 4435233.

It is a super-2 number, since 2×3325344000² = 22115825436672000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49631967 + ... + 49632033.

It is an arithmetic number, because the mean of its divisors is an integer number (21682752).

Almost surely, 2^3325344000 is an apocalyptic number.

3325344000 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 3325344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244632576).

3325344000 is an abundant number, since it is smaller than the sum of its proper divisors (9163921152).

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

3325344000 is a wasteful number, since it uses less digits than its factorization.

3325344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 3325344000 is about 57665.7957545025. The cubic root of 3325344000 is about 1492.6071795514.

Adding to 3325344000 its reverse (4435233), we get a palindrome (3329779233).

The spelling of 3325344000 in words is "three billion, three hundred twenty-five million, three hundred forty-four thousand".