3858016821120 has 1536 divisors, whose sum is σ = 17224187535360. Its totient is φ = 772241817600.

The previous prime is 3858016821091. The next prime is 3858016821137. The reversal of 3858016821120 is 211286108583.

3858016821120 is a `hidden beast` number, since 3 + 8 + 580 + 1 + 68 + 2 + 1 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 3808505734 + ... + 3808506746.

It is an arithmetic number, because the mean of its divisors is an integer number (11213663760).

Almost surely, 2^{3858016821120} is an apocalyptic number.

3858016821120 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 3858016821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8612093767680).

3858016821120 is an abundant number, since it is smaller than the sum of its proper divisors (13366170714240).

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

3858016821120 is a wasteful number, since it uses less digits than its factorization.

3858016821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 3858016821120 in words is "three trillion, eight hundred fifty-eight billion, sixteen million, eight hundred twenty-one thousand, one hundred twenty".