3612800 has 48 divisors (see below), whose sum is σ = 8932650. Its totient is φ = 1443840.

The previous prime is 3612799. The next prime is 3612809. The reversal of 3612800 is 82163.

It can be written as a sum of positive squares in 3 ways, for example, as 1827904 + 1784896 = 1352^2 + 1336^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3612809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2636 + ... + 3764.

Almost surely, 2^3612800 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 3612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466325).

3612800 is an abundant number, since it is smaller than the sum of its proper divisors (5319850).

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

3612800 is a wasteful number, since it uses less digits than its factorization.

3612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3612800 is about 1900.7366992827. The cubic root of 3612800 is about 153.4433153388.

Adding to 3612800 its reverse (82163), we get a palindrome (3694963).

The spelling of 3612800 in words is "three million, six hundred twelve thousand, eight hundred".