3546400 has 144 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 1152000.

The previous prime is 3546397. The next prime is 3546409. The reversal of 3546400 is 46453.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3546409) 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, 114385 + ... + 114415.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

Almost surely, 2^3546400 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 3546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

3546400 is an abundant number, since it is smaller than the sum of its proper divisors (6952928).

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

3546400 is a wasteful number, since it uses less digits than its factorization.

3546400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 3546400 is about 1883.1887850133. The cubic root of 3546400 is about 152.4974468801.

The spelling of 3546400 in words is "three million, five hundred forty-six thousand, four hundred".