3873970800 has 1200 divisors, whose sum is σ = 17860761600. Its totient is φ = 783820800.

The previous prime is 3873970777. The next prime is 3873970843. The reversal of 3873970800 is 80793783.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 124966785 + ... + 124966815.

It is an arithmetic number, because the mean of its divisors is an integer number (14883968).

Almost surely, 2^3873970800 is an apocalyptic number.

3873970800 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 3873970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8930380800).

3873970800 is an abundant number, since it is smaller than the sum of its proper divisors (13986790800).

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

3873970800 is a wasteful number, since it uses less digits than its factorization.

3873970800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 3873970800 is about 62241.2307076266. The cubic root of 3873970800 is about 1570.5512554324.

The spelling of 3873970800 in words is "three billion, eight hundred seventy-three million, nine hundred seventy thousand, eight hundred".