3718800 has 90 divisors (see below), whose sum is σ = 12917762. Its totient is φ = 990720.

The previous prime is 3718789. The next prime is 3718807. The reversal of 3718800 is 88173.

3718800 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 3 ways, for example, as 1016064 + 2702736 = 1008^2 + 1644^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (3718807) 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 17 ways as a sum of consecutive naturals, for example, 3084 + ... + 4116.

Almost surely, 2^3718800 is an apocalyptic number.

3718800 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 3718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458881).

3718800 is an abundant number, since it is smaller than the sum of its proper divisors (9198962).

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

3718800 is a wasteful number, since it uses less digits than its factorization.

3718800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 3718800 is about 1928.4190415986. The cubic root of 3718800 is about 154.9295552245.

The spelling of 3718800 in words is "three million, seven hundred eighteen thousand, eight hundred".