3330066600 has 384 divisors, whose sum is σ = 13468780800. Its totient is φ = 740275200.

The previous prime is 3330066599. The next prime is 3330066659. The reversal of 3330066600 is 66600333.

It is a super-2 number, since 2×3330066600² = 22178687120871120000, which contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1397410 + ... + 1399790.

It is an arithmetic number, because the mean of its divisors is an integer number (35074950).

Almost surely, 2^3330066600 is an apocalyptic number.

3330066600 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 3330066600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734390400).

3330066600 is an abundant number, since it is smaller than the sum of its proper divisors (10138714200).

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

3330066600 is a wasteful number, since it uses less digits than its factorization.

3330066600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

The square root of 3330066600 is about 57706.7292436506. The cubic root of 3330066600 is about 1493.3134375449.

Adding to 3330066600 its reverse (66600333), we get a palindrome (3396666933).

The spelling of 3330066600 in words is "three billion, three hundred thirty million, sixty-six thousand, six hundred".