3396384 has 48 divisors (see below), whose sum is σ = 9908640. Its totient is φ = 1131840.

The previous prime is 3396377. The next prime is 3396389. The reversal of 3396384 is 4836933.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3⁵ + 3¹⁰ + 9⁵ + 6⁸ + 3¹³ + 8 + 4⁶ .

It is not an unprimeable number, because it can be changed into a prime (3396389) 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, 1102 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (206430).

Almost surely, 2^3396384 is an apocalyptic number.

It is an amenable number.

3396384 is an abundant number, since it is smaller than the sum of its proper divisors (6512256).

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

3396384 is a wasteful number, since it uses less digits than its factorization.

3396384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3936 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 3396384 is about 1842.9281049460. The cubic root of 3396384 is about 150.3161332637.

The spelling of 3396384 in words is "three million, three hundred ninety-six thousand, three hundred eighty-four".