3848694572160 has 384 divisors, whose sum is σ = 13672354176000. Its totient is φ = 997169651712.

The previous prime is 3848694572159. The next prime is 3848694572311. The reversal of 3848694572160 is 612754968483.

3848694572160 is a `hidden beast` number, since 3 + 8 + 48 + 6 + 9 + 4 + 572 + 16 + 0 = 666.

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

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31382641 + ... + 31505039.

It is an arithmetic number, because the mean of its divisors is an integer number (35605089000).

It is a 1-persistent number, because it is pandigital, but 2⋅3848694572160 = 7697389144320 is not.

Almost surely, 2^{3848694572160} is an apocalyptic number.

3848694572160 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 3848694572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836177088000).

3848694572160 is an abundant number, since it is smaller than the sum of its proper divisors (9823659603840).

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

3848694572160 is a wasteful number, since it uses less digits than its factorization.

3848694572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122580 (or 122565 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3848694572160 in words is "three trillion, eight hundred forty-eight billion, six hundred ninety-four million, five hundred seventy-two thousand, one hundred sixty".