3466400 has 72 divisors (see below), whose sum is σ = 9686880. Its totient is φ = 1186560.

The previous prime is 3466369. The next prime is 3466409. The reversal of 3466400 is 46643.

It is not an unprimeable number, because it can be changed into a prime (3466409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5291 + ... + 5909.

It is an arithmetic number, because the mean of its divisors is an integer number (134540).

Almost surely, 2^3466400 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 3466400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843440).

3466400 is an abundant number, since it is smaller than the sum of its proper divisors (6220480).

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

3466400 is a wasteful number, since it uses less digits than its factorization.

3466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 3466400 is about 1861.8270596379. The cubic root of 3466400 is about 151.3420312794.

The spelling of 3466400 in words is "three million, four hundred sixty-six thousand, four hundred".