3616800 has 144 divisors (see below), whose sum is σ = 12936672. Its totient is φ = 870400.

The previous prime is 3616757. The next prime is 3616813. The reversal of 3616800 is 86163.

3616800 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 26332 + ... + 26468.

It is an arithmetic number, because the mean of its divisors is an integer number (89838).

Almost surely, 2^3616800 is an apocalyptic number.

3616800 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 3616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6468336).

3616800 is an abundant number, since it is smaller than the sum of its proper divisors (9319872).

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

3616800 is a wasteful number, since it uses less digits than its factorization.

3616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3616800 is about 1901.7886317885. The cubic root of 3616800 is about 153.4999239603.

It can be divided in two parts, 36 and 16800, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 3616800 in words is "three million, six hundred sixteen thousand, eight hundred".