3388400 has 60 divisors (see below), whose sum is σ = 8372232. Its totient is φ = 1317120.

The previous prime is 3388397. The next prime is 3388433. The reversal of 3388400 is 48833.

It is a super-2 number, since 2×3388400² = 22962509120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3388400.

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 11 ways as a sum of consecutive naturals, for example, 17102 + ... + 17298.

Almost surely, 2^3388400 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 3388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186116).

3388400 is an abundant number, since it is smaller than the sum of its proper divisors (4983832).

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

3388400 is a wasteful number, since it uses less digits than its factorization.

3388400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 3388400 is about 1840.7607123143. The cubic root of 3388400 is about 150.1982563658.

The spelling of 3388400 in words is "three million, three hundred eighty-eight thousand, four hundred".