3888699217920 has 2688 divisors, whose sum is σ = 16705964620800. Its totient is φ = 858370867200.

The previous prime is 3888699217877. The next prime is 3888699217937. The reversal of 3888699217920 is 297129968883.

3888699217920 is a `hidden beast` number, since 388 + 8 + 6 + 9 + 9 + 217 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 54770411485 + ... + 54770411555.

It is an arithmetic number, because the mean of its divisors is an integer number (6215016600).

Almost surely, 2^{3888699217920} is an apocalyptic number.

3888699217920 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 3888699217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8352982310400).

3888699217920 is an abundant number, since it is smaller than the sum of its proper divisors (12817265402880).

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

3888699217920 is a wasteful number, since it uses less digits than its factorization.

3888699217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 3888699217920 in words is "three trillion, eight hundred eighty-eight billion, six hundred ninety-nine million, two hundred seventeen thousand, nine hundred twenty".