3840883200 has 720 divisors, whose sum is σ = 17176775616. Its totient is φ = 796262400.

The previous prime is 3840883147. The next prime is 3840883213. The reversal of 3840883200 is 23880483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 8870184 + ... + 8870616.

Almost surely, 2^3840883200 is an apocalyptic number.

3840883200 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 3840883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588387808).

3840883200 is an abundant number, since it is smaller than the sum of its proper divisors (13335892416).

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

3840883200 is a wasteful number, since it uses less digits than its factorization.

3840883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3840883200 is about 61974.8594189612. The cubic root of 3840883200 is about 1566.0671032054.

The spelling of 3840883200 in words is "three billion, eight hundred forty million, eight hundred eighty-three thousand, two hundred".