3884187607020 has 288 divisors, whose sum is σ = 14414346326016. Its totient is φ = 859174905600.

The previous prime is 3884187606877. The next prime is 3884187607043. The reversal of 3884187607020 is 207067814883.

It is a happy number.

3884187607020 is a `hidden beast` number, since 3 + 8 + 8 + 4 + 1 + 8 + 7 + 607 + 0 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 786891 + ... + 2896130.

It is an arithmetic number, because the mean of its divisors is an integer number (50049813632).

Almost surely, 2^{3884187607020} is an apocalyptic number.

3884187607020 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 3884187607020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7207173163008).

3884187607020 is an abundant number, since it is smaller than the sum of its proper divisors (10530158718996).

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

3884187607020 is a wasteful number, since it uses less digits than its factorization.

3884187607020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683083 (or 3683069 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 3884187607020 in words is "three trillion, eight hundred eighty-four billion, one hundred eighty-seven million, six hundred seven thousand, twenty".