3873678000 has 160 divisors (see below), whose sum is σ = 12827006400. Its totient is φ = 1005004800.

The previous prime is 3873677999. The next prime is 3873678019. The reversal of 3873678000 is 8763783.

It is a happy number.

3873678000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213276 + ... + 230724.

It is an arithmetic number, because the mean of its divisors is an integer number (80168790).

Almost surely, 2^3873678000 is an apocalyptic number.

3873678000 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 3873678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413503200).

3873678000 is an abundant number, since it is smaller than the sum of its proper divisors (8953328400).

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

3873678000 is a wasteful number, since it uses less digits than its factorization.

3873678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17512 (or 17496 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3873678000 is about 62238.8785246007. The cubic root of 3873678000 is about 1570.5116862997.

The spelling of 3873678000 in words is "three billion, eight hundred seventy-three million, six hundred seventy-eight thousand".