3879314208000 has 5184 divisors, whose sum is σ = 19759160279040. Its totient is φ = 739031040000.

The previous prime is 3879314207999. The next prime is 3879314208041. The reversal of 3879314208000 is 8024139783.

It is a tau number, because it is divible by the number of its divisors (5184).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 125139167985 + ... + 125139168015.

Almost surely, 2^{3879314208000} is an apocalyptic number.

3879314208000 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 3879314208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9879580139520).

3879314208000 is an abundant number, since it is smaller than the sum of its proper divisors (15879846071040).

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

3879314208000 is a wasteful number, since it uses less digits than its factorization.

3879314208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3879314208000 in words is "three trillion, eight hundred seventy-nine billion, three hundred fourteen million, two hundred eight thousand".