3366558720 has 704 divisors, whose sum is σ = 14148864000. Its totient is φ = 758661120.

The previous prime is 3366558697. The next prime is 3366558743. The reversal of 3366558720 is 278556633.

3366558720 is a `hidden beast` number, since 3 + 3 + 6 + 65 + 587 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3366558697) and next prime (3366558743).

It is a super-2 number, since 2×3366558720² = 22667435230416076800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47416285 + ... + 47416355.

Almost surely, 2^3366558720 is an apocalyptic number.

3366558720 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 3366558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074432000).

3366558720 is an abundant number, since it is smaller than the sum of its proper divisors (10782305280).

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

3366558720 is an equidigital number, since it uses as much as digits as its factorization.

3366558720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 3366558720 is about 58022.0537382123. The cubic root of 3366558720 is about 1498.7483959487.

The spelling of 3366558720 in words is "three billion, three hundred sixty-six million, five hundred fifty-eight thousand, seven hundred twenty".