3320064000 has 576 divisors, whose sum is σ = 13154581440. Its totient is φ = 798720000.

The previous prime is 3320063969. The next prime is 3320064023. The reversal of 3320064000 is 4600233.

3320064000 is a `hidden beast` number, since 3 + 3 + 20 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3320064000² = 22045649928192000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25343935 + ... + 25344065.

It is an arithmetic number, because the mean of its divisors is an integer number (22837815).

Almost surely, 2^3320064000 is an apocalyptic number.

3320064000 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 3320064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577290720).

3320064000 is an abundant number, since it is smaller than the sum of its proper divisors (9834517440).

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

3320064000 is a wasteful number, since it uses less digits than its factorization.

3320064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3320064000 is about 57619.9965289829. The cubic root of 3320064000 is about 1491.8167710264.

Adding to 3320064000 its reverse (4600233), we get a palindrome (3324664233).

The spelling of 3320064000 in words is "three billion, three hundred twenty million, sixty-four thousand".