3330504000 has 448 divisors, whose sum is σ = 12952293120. Its totient is φ = 834969600.

The previous prime is 3330503971. The next prime is 3330504011. The reversal of 3330504000 is 4050333.

It is a happy number.

It is a super-2 number, since 2×3330504000² = 22184513788032000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3671547 + ... + 3672453.

Almost surely, 2^3330504000 is an apocalyptic number.

3330504000 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 3330504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476146560).

3330504000 is an abundant number, since it is smaller than the sum of its proper divisors (9621789120).

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

3330504000 is a wasteful number, since it uses less digits than its factorization.

3330504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 3330504000 is about 57710.5189718478. The cubic root of 3330504000 is about 1493.3788162876.

Adding to 3330504000 its reverse (4050333), we get a palindrome (3334554333).

The spelling of 3330504000 in words is "three billion, three hundred thirty million, five hundred four thousand".