3868520351872 has 64 divisors (see below), whose sum is σ = 8415350112960. Its totient is φ = 1756763458560.

The previous prime is 3868520351797. The next prime is 3868520351873. The reversal of 3868520351872 is 2781530258683.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3868520351873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204358 + ... + 2789050.

It is an arithmetic number, because the mean of its divisors is an integer number (131489845515).

Almost surely, 2^{3868520351872} is an apocalyptic number.

3868520351872 is a gapful number since it is divisible by the number (32) 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 3868520351872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207675056480).

3868520351872 is an abundant number, since it is smaller than the sum of its proper divisors (4546829761088).

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

3868520351872 is a wasteful number, since it uses less digits than its factorization.

3868520351872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585781 (or 2585769 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 3868520351872 in words is "three trillion, eight hundred sixty-eight billion, five hundred twenty million, three hundred fifty-one thousand, eight hundred seventy-two".