3888878164500 has 288 divisors, whose sum is σ = 13178767754880. Its totient is φ = 888517324800.

The previous prime is 3888878164481. The next prime is 3888878164553. The reversal of 3888878164500 is 54618788883.

It is a super-3 number, since 3×3888878164500³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

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, 202335891 + ... + 202355109.

It is an arithmetic number, because the mean of its divisors is an integer number (45759610260).

Almost surely, 2^{3888878164500} is an apocalyptic number.

3888878164500 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 3888878164500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589383877440).

3888878164500 is an abundant number, since it is smaller than the sum of its proper divisors (9289889590380).

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

3888878164500 is a wasteful number, since it uses less digits than its factorization.

3888878164500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22008 (or 21989 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 66.

The spelling of 3888878164500 in words is "three trillion, eight hundred eighty-eight billion, eight hundred seventy-eight million, one hundred sixty-four thousand, five hundred".