3839576160 has 192 divisors, whose sum is σ = 13848855552. Its totient is φ = 875943936.

The previous prime is 3839576057. The next prime is 3839576189. The reversal of 3839576160 is 616759383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2946069 + ... + 2947371.

It is an arithmetic number, because the mean of its divisors is an integer number (72129456).

Almost surely, 2^3839576160 is an apocalyptic number.

3839576160 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 3839576160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924427776).

3839576160 is an abundant number, since it is smaller than the sum of its proper divisors (10009279392).

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

3839576160 is a wasteful number, since it uses less digits than its factorization.

3839576160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 3839576160 is about 61964.3136006524. The cubic root of 3839576160 is about 1565.8894405456.

The spelling of 3839576160 in words is "three billion, eight hundred thirty-nine million, five hundred seventy-six thousand, one hundred sixty".