3788800 has 78 divisors (see below), whose sum is σ = 9648998. Its totient is φ = 1474560.

The previous prime is 3788779. The next prime is 3788833. The reversal of 3788800 is 88873.

It can be written as a sum of positive squares in 3 ways, for example, as 802816 + 2985984 = 896^2 + 1728^2 .

It is a congruent number.

It is an unprimeable number.

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, 102382 + ... + 102418.

Almost surely, 2^3788800 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 3788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824499).

3788800 is an abundant number, since it is smaller than the sum of its proper divisors (5860198).

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

3788800 is an equidigital number, since it uses as much as digits as its factorization.

3788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 3788800 is about 1946.4840096954. The cubic root of 3788800 is about 155.8956128300.

It can be divided in two parts, 3 and 788800, that multiplied together give a triangular number (2366400 = T₂₁₇₅).

The spelling of 3788800 in words is "three million, seven hundred eighty-eight thousand, eight hundred".