3562400 has 72 divisors (see below), whose sum is σ = 8960364. Its totient is φ = 1382400.

The previous prime is 3562399. The next prime is 3562409. The reversal of 3562400 is 42653.

3562400 is nontrivially palindromic in base 3.

3562400 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 6 ways, for example, as 478864 + 3083536 = 692^2 + 1756^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3562409) 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 11 ways as a sum of consecutive naturals, for example, 48764 + ... + 48836.

Almost surely, 2^3562400 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 3562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480182).

3562400 is an abundant number, since it is smaller than the sum of its proper divisors (5397964).

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

3562400 is a wasteful number, since it uses less digits than its factorization.

3562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3562400 is about 1887.4321179846. The cubic root of 3562400 is about 152.7264395612.

The spelling of 3562400 in words is "three million, five hundred sixty-two thousand, four hundred".