3869984160 has 288 divisors, whose sum is σ = 15147699840. Its totient is φ = 881362944.

The previous prime is 3869984123. The next prime is 3869984177. The reversal of 3869984160 is 614899683.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3869984097 and 3869984106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3819814 + ... + 3820826.

It is an arithmetic number, because the mean of its divisors is an integer number (52596180).

Almost surely, 2^3869984160 is an apocalyptic number.

3869984160 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 3869984160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7573849920).

3869984160 is an abundant number, since it is smaller than the sum of its proper divisors (11277715680).

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

3869984160 is a wasteful number, since it uses less digits than its factorization.

3869984160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3869984160 is about 62209.1967477478. The cubic root of 3869984160 is about 1570.0123276515.

The spelling of 3869984160 in words is "three billion, eight hundred sixty-nine million, nine hundred eighty-four thousand, one hundred sixty".