3346400 has 72 divisors (see below), whose sum is σ = 8436960. Its totient is φ = 1295360.

The previous prime is 3346373. The next prime is 3346417. The reversal of 3346400 is 46433.

It is a happy number.

3346400 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 2×3346400² = 22396785920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 37556 + ... + 37644.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^3346400 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 3346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218480).

3346400 is an abundant number, since it is smaller than the sum of its proper divisors (5090560).

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

3346400 is a wasteful number, since it uses less digits than its factorization.

3346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3346400 is about 1829.3168123647. The cubic root of 3346400 is about 149.5750937976.

The spelling of 3346400 in words is "three million, three hundred forty-six thousand, four hundred".