3879471120 has 240 divisors, whose sum is σ = 14184627840. Its totient is φ = 874395648.

The previous prime is 3879471103. The next prime is 3879471149. The reversal of 3879471120 is 211749783.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 856221 + ... + 860739.

It is an arithmetic number, because the mean of its divisors is an integer number (59102616).

Almost surely, 2^3879471120 is an apocalyptic number.

3879471120 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 3879471120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092313920).

3879471120 is an abundant number, since it is smaller than the sum of its proper divisors (10305156720).

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

3879471120 is a wasteful number, since it uses less digits than its factorization.

3879471120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 3879471120 is about 62285.4005365623. The cubic root of 3879471120 is about 1571.2942010883.

The spelling of 3879471120 in words is "three billion, eight hundred seventy-nine million, four hundred seventy-one thousand, one hundred twenty".