3847516028928 has 1536 divisors, whose sum is σ = 14106739046400. Its totient is φ = 1031956070400.

The previous prime is 3847516028911. The next prime is 3847516028957. The reversal of 3847516028928 is 8298206157483.

3847516028928 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 516 + 0 + 28 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35298312138 + ... + 35298312246.

It is an arithmetic number, because the mean of its divisors is an integer number (9184074900).

It is a 1-persistent number, because it is pandigital, but 2⋅3847516028928 = 7695032057856 is not.

Almost surely, 2^{3847516028928} 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 3847516028928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053369523200).

3847516028928 is an abundant number, since it is smaller than the sum of its proper divisors (10259223017472).

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

3847516028928 is a wasteful number, since it uses less digits than its factorization.

3847516028928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 3847516028928 in words is "three trillion, eight hundred forty-seven billion, five hundred sixteen million, twenty-eight thousand, nine hundred twenty-eight".