3386016 has 48 divisors (see below), whose sum is σ = 9878400. Its totient is φ = 1128384.

The previous prime is 3385997. The next prime is 3386017. The reversal of 3386016 is 6106833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3386016² = 22930208704512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3386017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1096 + ... + 2823.

It is an arithmetic number, because the mean of its divisors is an integer number (205800).

Almost surely, 2^3386016 is an apocalyptic number.

3386016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3386016 is an abundant number, since it is smaller than the sum of its proper divisors (6492384).

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

3386016 is a wasteful number, since it uses less digits than its factorization.

3386016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3386016 is about 1840.1130400060. The cubic root of 3386016 is about 150.1630227597.

The spelling of 3386016 in words is "three million, three hundred eighty-six thousand, sixteen".