3869475120 has 360 divisors, whose sum is σ = 15351611184. Its totient is φ = 870718464.

The previous prime is 3869475119. The next prime is 3869475151. The reversal of 3869475120 is 215749683.

3869475120 is a `hidden beast` number, since 38 + 69 + 47 + 512 + 0 = 666.

3869475120 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

3869475120 is strictly pandigital in base 10.

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 71 ways as a sum of consecutive naturals, for example, 2362942 + ... + 2364578.

It is a 1-persistent number, because it is pandigital, but 2⋅3869475120 = 7738950240 is not.

Almost surely, 2^3869475120 is an apocalyptic number.

3869475120 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 3869475120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675805592).

3869475120 is an abundant number, since it is smaller than the sum of its proper divisors (11482136064).

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

3869475120 is a wasteful number, since it uses less digits than its factorization.

3869475120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3869475120 is about 62205.1052567231. The cubic root of 3869475120 is about 1569.9434872216.

The spelling of 3869475120 in words is "three billion, eight hundred sixty-nine million, four hundred seventy-five thousand, one hundred twenty".