3386400 has 144 divisors (see below), whose sum is σ = 11811744. Its totient is φ = 839680.

The previous prime is 3386399. The next prime is 3386407. The reversal of 3386400 is 46833.

It is a super-2 number, since 2×3386400² = 22935409920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3386407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40759 + ... + 40841.

It is an arithmetic number, because the mean of its divisors is an integer number (82026).

Almost surely, 2^3386400 is an apocalyptic number.

3386400 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 3386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905872).

3386400 is an abundant number, since it is smaller than the sum of its proper divisors (8425344).

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

3386400 is a wasteful number, since it uses less digits than its factorization.

3386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3386400 is about 1840.2173784638. The cubic root of 3386400 is about 150.1686990885.

The spelling of 3386400 in words is "three million, three hundred eighty-six thousand, four hundred".