3361686120 has 192 divisors, whose sum is σ = 11988784080. Its totient is φ = 811819008.

The previous prime is 3361686103. The next prime is 3361686143. The reversal of 3361686120 is 216861633.

3361686120 is a `hidden beast` number, since 3 + 36 + 1 + 6 + 8 + 612 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1673955396 + 1687730724 = 40914^2 + 41082^2 .

It is a super-2 number, since 2×3361686120² = 22601867138801308800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241264 + ... + 254816.

Almost surely, 2^3361686120 is an apocalyptic number.

3361686120 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 3361686120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994392040).

3361686120 is an abundant number, since it is smaller than the sum of its proper divisors (8627097960).

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

3361686120 is a wasteful number, since it uses less digits than its factorization.

3361686120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13636 (or 13629 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3361686120 is about 57980.0493273333. The cubic root of 3361686120 is about 1498.0249739895.

The spelling of 3361686120 in words is "three billion, three hundred sixty-one million, six hundred eighty-six thousand, one hundred twenty".