3878786304 has 144 divisors (see below), whose sum is σ = 11750874240. Its totient is φ = 1261301760.

The previous prime is 3878786269. The next prime is 3878786339. The reversal of 3878786304 is 4036878783.

It is an interprime number because it is at equal distance from previous prime (3878786269) and next prime (3878786339).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 276549 + ... + 290235.

Almost surely, 2^3878786304 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 3878786304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875437120).

3878786304 is an abundant number, since it is smaller than the sum of its proper divisors (7872087936).

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

3878786304 is a wasteful number, since it uses less digits than its factorization.

3878786304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13753 (or 13733 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 3878786304 is about 62279.9028900977. The cubic root of 3878786304 is about 1571.2017391093.

The spelling of 3878786304 in words is "three billion, eight hundred seventy-eight million, seven hundred eighty-six thousand, three hundred four".