3602400 has 144 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 898560.

The previous prime is 3602393. The next prime is 3602437. The reversal of 3602400 is 42063.

3602400 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3602400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45561 + ... + 45639.

It is an arithmetic number, because the mean of its divisors is an integer number (86800).

Almost surely, 2^3602400 is an apocalyptic number.

3602400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600).

3602400 is an abundant number, since it is smaller than the sum of its proper divisors (8896800).

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

3602400 is a wasteful number, since it uses less digits than its factorization.

3602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3602400 is about 1897.9989462589. The cubic root of 3602400 is about 153.2959371100.

Adding to 3602400 its reverse (42063), we get a palindrome (3644463).

The spelling of 3602400 in words is "three million, six hundred two thousand, four hundred".