3888122705280 has 3072 divisors, whose sum is σ = 17004861619200. Its totient is φ = 838464307200.

The previous prime is 3888122705273. The next prime is 3888122705297. The reversal of 3888122705280 is 825072218883.

3888122705280 is a `hidden beast` number, since 3 + 8 + 88 + 12 + 27 + 0 + 528 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 63739716450 + ... + 63739716510.

It is an arithmetic number, because the mean of its divisors is an integer number (5535436725).

Almost surely, 2^{3888122705280} is an apocalyptic number.

3888122705280 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 3888122705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502430809600).

3888122705280 is an abundant number, since it is smaller than the sum of its proper divisors (13116738913920).

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

3888122705280 is a wasteful number, since it uses less digits than its factorization.

3888122705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 3888122705280 in words is "three trillion, eight hundred eighty-eight billion, one hundred twenty-two million, seven hundred five thousand, two hundred eighty".