3873315600 has 720 divisors, whose sum is σ = 17054444160. Its totient is φ = 790732800.

The previous prime is 3873315571. The next prime is 3873315613. The reversal of 3873315600 is 65133783.

3873315600 is a `hidden beast` number, since 3 + 8 + 7 + 33 + 15 + 600 = 666.

3873315600 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 (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 143 ways as a sum of consecutive naturals, for example, 24670722 + ... + 24670878.

It is an arithmetic number, because the mean of its divisors is an integer number (23686728).

Almost surely, 2^3873315600 is an apocalyptic number.

3873315600 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 3873315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8527222080).

3873315600 is an abundant number, since it is smaller than the sum of its proper divisors (13181128560).

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

3873315600 is a wasteful number, since it uses less digits than its factorization.

3873315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3873315600 is about 62235.9670929921. The cubic root of 3873315600 is about 1570.4627086283.

The spelling of 3873315600 in words is "three billion, eight hundred seventy-three million, three hundred fifteen thousand, six hundred".