3920888160 has 768 divisors, whose sum is σ = 17244057600. Its totient is φ = 811302912.

The previous prime is 3920888141. The next prime is 3920888267. The reversal of 3920888160 is 618880293.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14908189 + ... + 14908451.

It is an arithmetic number, because the mean of its divisors is an integer number (22453200).

Almost surely, 2^3920888160 is an apocalyptic number.

3920888160 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 3920888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8622028800).

3920888160 is an abundant number, since it is smaller than the sum of its proper divisors (13323169440).

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

3920888160 is a wasteful number, since it uses less digits than its factorization.

3920888160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 3920888160 is about 62616.9957759074. The cubic root of 3920888160 is about 1576.8661055712.

The spelling of 3920888160 in words is "three billion, nine hundred twenty million, eight hundred eighty-eight thousand, one hundred sixty".