3386247680 has 240 divisors, whose sum is σ = 9044956800. Its totient is φ = 1213267968.

The previous prime is 3386247671. The next prime is 3386247701. The reversal of 3386247680 is 867426833.

It is a super-2 number, since 2×3386247680² = 22933346700610764800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 17016221 + ... + 17016419.

It is an arithmetic number, because the mean of its divisors is an integer number (37687320).

Almost surely, 2^3386247680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3386247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522478400).

3386247680 is an abundant number, since it is smaller than the sum of its proper divisors (5658709120).

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

3386247680 is a wasteful number, since it uses less digits than its factorization.

3386247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The square root of 3386247680 is about 58191.4742896242. The cubic root of 3386247680 is about 1501.6644752945.

The spelling of 3386247680 in words is "three billion, three hundred eighty-six million, two hundred forty-seven thousand, six hundred eighty".