3366113760 has 168 divisors, whose sum is σ = 11923624440. Its totient is φ = 897599232.

The previous prime is 3366113753. The next prime is 3366113809. The reversal of 3366113760 is 673116633.

3366113760 is a `hidden beast` number, since 3 + 3 + 6 + 611 + 37 + 6 + 0 = 666.

It is a super-2 number, since 2×3366113760² = 22661443690522675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 27 ways as a sum of consecutive naturals, for example, 102211 + ... + 131069.

It is an arithmetic number, because the mean of its divisors is an integer number (70973955).

Almost surely, 2^3366113760 is an apocalyptic number.

3366113760 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 3366113760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961812220).

3366113760 is an abundant number, since it is smaller than the sum of its proper divisors (8557510680).

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

3366113760 is an equidigital number, since it uses as much as digits as its factorization.

3366113760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28892 (or 28869 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3366113760 is about 58018.2192074179. The cubic root of 3366113760 is about 1498.6823628939.

The spelling of 3366113760 in words is "three billion, three hundred sixty-six million, one hundred thirteen thousand, seven hundred sixty".