3522400 has 144 divisors (see below), whose sum is σ = 10686816. Its totient is φ = 1105920.

The previous prime is 3522367. The next prime is 3522403. The reversal of 3522400 is 42253.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3522403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95182 + ... + 95218.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

Almost surely, 2^3522400 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 3522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408).

3522400 is an abundant number, since it is smaller than the sum of its proper divisors (7164416).

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

3522400 is a wasteful number, since it uses less digits than its factorization.

3522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 3522400 is about 1876.8057970925. The cubic root of 3522400 is about 152.1526628712.

Adding to 3522400 its reverse (42253), we get a palindrome (3564653).

The spelling of 3522400 in words is "three million, five hundred twenty-two thousand, four hundred".