3768055200 has 1008 divisors, whose sum is σ = 17213648256. Its totient is φ = 783820800.

The previous prime is 3768055153. The next prime is 3768055259. The reversal of 3768055200 is 25508673.

3768055200 is a `hidden beast` number, since 376 + 80 + 5 + 5 + 200 = 666.

3768055200 is digitally balanced in base 2 and base 4, because in such bases 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 (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 53071165 + ... + 53071235.

It is an arithmetic number, because the mean of its divisors is an integer number (17077032).

Almost surely, 2^3768055200 is an apocalyptic number.

3768055200 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 3768055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8606824128).

3768055200 is an abundant number, since it is smaller than the sum of its proper divisors (13445593056).

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

3768055200 is a wasteful number, since it uses less digits than its factorization.

3768055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3768055200 is about 61384.4866395411. The cubic root of 3768055200 is about 1556.1056710396.

The spelling of 3768055200 in words is "three billion, seven hundred sixty-eight million, fifty-five thousand, two hundred".