3385307016 has 192 divisors, whose sum is σ = 11324476800. Its totient is φ = 889657344.

The previous prime is 3385306987. The next prime is 3385307017. The reversal of 3385307016 is 6107035833.

3385307016 is a `hidden beast` number, since 338 + 5 + 307 + 0 + 16 = 666.

It is a super-2 number, since 2×3385307016² = 22920607185157648512, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3385307017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2272800 + ... + 2274288.

It is an arithmetic number, because the mean of its divisors is an integer number (58981650).

Almost surely, 2^3385307016 is an apocalyptic number.

3385307016 is a gapful number since it is divisible by the number (36) 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 3385307016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662238400).

3385307016 is an abundant number, since it is smaller than the sum of its proper divisors (7939169784).

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

3385307016 is a wasteful number, since it uses less digits than its factorization.

3385307016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3385307016 is about 58183.3912383938. The cubic root of 3385307016 is about 1501.5254135498.

The spelling of 3385307016 in words is "three billion, three hundred eighty-five million, three hundred seven thousand, sixteen".