3612400 has 60 divisors (see below), whose sum is σ = 9479304. Its totient is φ = 1312000.

The previous prime is 3612391. The next prime is 3612407. The reversal of 3612400 is 42163.

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 (3612407) 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 11 ways as a sum of consecutive naturals, for example, 3990 + ... + 4810.

Almost surely, 2^3612400 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 3612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739652).

3612400 is an abundant number, since it is smaller than the sum of its proper divisors (5866904).

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

3612400 is a wasteful number, since it uses less digits than its factorization.

3612400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3612400 is about 1900.6314740107. The cubic root of 3612400 is about 153.4376521790.

Adding to 3612400 its reverse (42163), we get a palindrome (3654563).

The spelling of 3612400 in words is "three million, six hundred twelve thousand, four hundred".