3386017104 has 120 divisors (see below), whose sum is σ = 9029422080. Its totient is φ = 1093188096.

The previous prime is 3386017087. The next prime is 3386017111. The reversal of 3386017104 is 4017106833.

It is a super-2 number, since 2×3386017104² = 22930223657161093632, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 26661489 + ... + 26661615.

It is an arithmetic number, because the mean of its divisors is an integer number (75245184).

Almost surely, 2^3386017104 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 3386017104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514711040).

3386017104 is an abundant number, since it is smaller than the sum of its proper divisors (5643404976).

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

3386017104 is a wasteful number, since it uses less digits than its factorization.

3386017104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3386017104 is about 58189.4930722033. The cubic root of 3386017104 is about 1501.6303907974.

The spelling of 3386017104 in words is "three billion, three hundred eighty-six million, seventeen thousand, one hundred four".