3384640 has 56 divisors (see below), whose sum is σ = 9217152. Its totient is φ = 1159680.

The previous prime is 3384637. The next prime is 3384671. The reversal of 3384640 is 464833.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3384640² = 22911575859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3384599 and 3384608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1485 + ... + 2995.

It is an arithmetic number, because the mean of its divisors is an integer number (164592).

Almost surely, 2^3384640 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 3384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576).

3384640 is an abundant number, since it is smaller than the sum of its proper divisors (5832512).

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

3384640 is a wasteful number, since it uses less digits than its factorization.

3384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3384640 is about 1839.7391119395. The cubic root of 3384640 is about 150.1426790564.

The spelling of 3384640 in words is "three million, three hundred eighty-four thousand, six hundred forty".