3381860160 has 784 divisors, whose sum is σ = 14658441600. Its totient is φ = 725594112.

The previous prime is 3381860147. The next prime is 3381860161. The reversal of 3381860160 is 610681833.

3381860160 is a `hidden beast` number, since 3 + 38 + 18 + 601 + 6 + 0 = 666.

It is a super-2 number, since 2×3381860160² = 22873956283590451200, 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 not an unprimeable number, because it can be changed into a prime (3381860161) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 31026186 + ... + 31026294.

Almost surely, 2^3381860160 is an apocalyptic number.

3381860160 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 3381860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329220800).

3381860160 is an abundant number, since it is smaller than the sum of its proper divisors (11276581440).

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

3381860160 is a wasteful number, since it uses less digits than its factorization.

3381860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3381860160 is about 58153.7630768637. The cubic root of 3381860160 is about 1501.0156321723.

The spelling of 3381860160 in words is "three billion, three hundred eighty-one million, eight hundred sixty thousand, one hundred sixty".