3871279104 has 384 divisors, whose sum is σ = 13208832000. Its totient is φ = 999505920.

The previous prime is 3871279099. The next prime is 3871279123. The reversal of 3871279104 is 4019721783.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23181229 + ... + 23181395.

It is an arithmetic number, because the mean of its divisors is an integer number (34398000).

Almost surely, 2^3871279104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3871279104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416000).

3871279104 is an abundant number, since it is smaller than the sum of its proper divisors (9337552896).

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

3871279104 is a wasteful number, since it uses less digits than its factorization.

3871279104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 190 counting only the distinct ones).

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

The square root of 3871279104 is about 62219.6038560195. The cubic root of 3871279104 is about 1570.1874232279.

The spelling of 3871279104 in words is "three billion, eight hundred seventy-one million, two hundred seventy-nine thousand, one hundred four".