3384000 has 168 divisors, whose sum is σ = 12362688. Its totient is φ = 883200.

The previous prime is 3383999. The next prime is 3384049. The reversal of 3384000 is 4833.

It is a super-2 number, since 2×3384000² = 22902912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71977 + ... + 72023.

Almost surely, 2^3384000 is an apocalyptic number.

3384000 is a gapful number since it is divisible by the number (30) 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 3384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181344).

3384000 is an abundant number, since it is smaller than the sum of its proper divisors (8978688).

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

3384000 is a wasteful number, since it uses less digits than its factorization.

3384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3384000 is about 1839.5651660107. The cubic root of 3384000 is about 150.1332149901.

Adding to 3384000 its reverse (4833), we get a palindrome (3388833).

The spelling of 3384000 in words is "three million, three hundred eighty-four thousand".