3828863036160 has 288 divisors, whose sum is σ = 14177894330880. Its totient is φ = 976637325312.

The previous prime is 3828863036113. The next prime is 3828863036171. The reversal of 3828863036160 is 616303688283.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 3828863036097 and 3828863036106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1613574 + ... + 3203333.

It is an arithmetic number, because the mean of its divisors is an integer number (49228799760).

Almost surely, 2^{3828863036160} is an apocalyptic number.

3828863036160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3828863036160 is an abundant number, since it is smaller than the sum of its proper divisors (10349031294720).

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

3828863036160 is a wasteful number, since it uses less digits than its factorization.

3828863036160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816960 (or 4816940 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3828863036160 in words is "three trillion, eight hundred twenty-eight billion, eight hundred sixty-three million, thirty-six thousand, one hundred sixty".