3764800 has 84 divisors (see below), whose sum is σ = 10031476. Its totient is φ = 1382400.

The previous prime is 3764791. The next prime is 3764807. The reversal of 3764800 is 84673.

3764800 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 6 ways, for example, as 1478656 + 2286144 = 1216^2 + 1512^2 .

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (3764807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20710 + ... + 20890.

Almost surely, 2^3764800 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 3764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015738).

3764800 is an abundant number, since it is smaller than the sum of its proper divisors (6266676).

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

3764800 is a wasteful number, since it uses less digits than its factorization.

3764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 3764800 is about 1940.3092537016. The cubic root of 3764800 is about 155.5657438527.

The spelling of 3764800 in words is "three million, seven hundred sixty-four thousand, eight hundred".