3778800 has 120 divisors (see below), whose sum is σ = 12546816. Its totient is φ = 971520.

The previous prime is 3778793. The next prime is 3778823. The reversal of 3778800 is 88773.

3778800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56367 + ... + 56433.

Almost surely, 2^3778800 is an apocalyptic number.

3778800 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 3778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273408).

3778800 is an abundant number, since it is smaller than the sum of its proper divisors (8768016).

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

3778800 is a wasteful number, since it uses less digits than its factorization.

3778800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 3778800 is about 1943.9135783260. The cubic root of 3778800 is about 155.7583372026.

The spelling of 3778800 in words is "three million, seven hundred seventy-eight thousand, eight hundred".