3374400 has 168 divisors, whose sum is σ = 11968480. Its totient is φ = 829440.

The previous prime is 3374389. The next prime is 3374407. The reversal of 3374400 is 44733.

3374400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3374400² = 22773150720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3374407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91182 + ... + 91218.

Almost surely, 2^3374400 is an apocalyptic number.

3374400 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 3374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984240).

3374400 is an abundant number, since it is smaller than the sum of its proper divisors (8594080).

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

3374400 is a wasteful number, since it uses less digits than its factorization.

3374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 3374400 is about 1836.9540005128. The cubic root of 3374400 is about 149.9911105843.

The spelling of 3374400 in words is "three million, three hundred seventy-four thousand, four hundred".