3831405120 has 336 divisors, whose sum is σ = 13583027952. Its totient is φ = 990904320.

The previous prime is 3831405013. The next prime is 3831405161. The reversal of 3831405120 is 215041383.

It is a happy number.

3831405120 is a `hidden beast` number, since 3 + 8 + 3 + 140 + 512 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2103506496 + 1727898624 = 45864^2 + 41568^2 .

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, 19851744 + ... + 19851936.

Almost surely, 2^3831405120 is an apocalyptic number.

3831405120 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 3831405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791513976).

3831405120 is an abundant number, since it is smaller than the sum of its proper divisors (9751622832).

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

3831405120 is a wasteful number, since it uses less digits than its factorization.

3831405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3831405120 is about 61898.3450505747. The cubic root of 3831405120 is about 1564.7778567130. Note that the first 3 decimals are identical.

The spelling of 3831405120 in words is "three billion, eight hundred thirty-one million, four hundred five thousand, one hundred twenty".