3768800 has 72 divisors (see below), whose sum is σ = 10530576. Its totient is φ = 1290240.

The previous prime is 3768799. The next prime is 3768823. The reversal of 3768800 is 88673.

3768800 = T₃₆₃ + T₃₆₄ + ... + T₄₁₂.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5264 + ... + 5936.

It is an arithmetic number, because the mean of its divisors is an integer number (146258).

Almost surely, 2^3768800 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 3768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5265288).

3768800 is an abundant number, since it is smaller than the sum of its proper divisors (6761776).

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

3768800 is a wasteful number, since it uses less digits than its factorization.

3768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 3768800 is about 1941.3397435792. The cubic root of 3768800 is about 155.6208191755.

The spelling of 3768800 in words is "three million, seven hundred sixty-eight thousand, eight hundred".