3830181120 has 432 divisors, whose sum is σ = 14391558720. Its totient is φ = 964472832.

The previous prime is 3830181067. The next prime is 3830181137. The reversal of 3830181120 is 211810383.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 12476007 + ... + 12476313.

Almost surely, 2^3830181120 is an apocalyptic number.

3830181120 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 3830181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195779360).

3830181120 is an abundant number, since it is smaller than the sum of its proper divisors (10561377600).

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

3830181120 is a wasteful number, since it uses less digits than its factorization.

3830181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 3830181120 is about 61888.4570820763. The cubic root of 3830181120 is about 1564.6112083574.

The spelling of 3830181120 in words is "three billion, eight hundred thirty million, one hundred eighty-one thousand, one hundred twenty".