3534400 has 63 divisors (see below), whose sum is σ = 8885809. Its totient is φ = 1383680.

The previous prime is 3534397. The next prime is 3534407. The reversal of 3534400 is 44353.

The square root of 3534400 is 1880.

It is a perfect power (a square), and thus also a powerful number.

3534400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1272384 + 2262016 = 1128^2 + 1504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3534407) 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 8 ways as a sum of consecutive naturals, for example, 75177 + ... + 75223.

Almost surely, 2^3534400 is an apocalyptic number.

3534400 is the 1880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3534400

3534400 is an abundant number, since it is smaller than the sum of its proper divisors (5351409).

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

3534400 is an equidigital number, since it uses as much as digits as its factorization.

3534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The cubic root of 3534400 is about 152.3252499779.

Adding to 3534400 its reverse (44353), we get a palindrome (3578753).

It can be divided in two parts, 353 and 4400, that added together give a triangular number (4753 = T₉₇).

The spelling of 3534400 in words is "three million, five hundred thirty-four thousand, four hundred".