3831161040 has 540 divisors, whose sum is σ = 15602178852. Its totient is φ = 839946240.

The previous prime is 3831160997. The next prime is 3831161053. The reversal of 3831161040 is 401611383.

3831161040 is a `hidden beast` number, since 3 + 8 + 3 + 1 + 1 + 610 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 549246096 + 3281914944 = 23436^2 + 57288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3831160995 and 3831161013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 33904024 + ... + 33904136.

Almost surely, 2^3831161040 is an apocalyptic number.

3831161040 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 3831161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801089426).

3831161040 is an abundant number, since it is smaller than the sum of its proper divisors (11771017812).

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

3831161040 is a wasteful number, since it uses less digits than its factorization.

3831161040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3831161040 is about 61896.3733994165. The cubic root of 3831161040 is about 1564.7446279037.

The spelling of 3831161040 in words is "three billion, eight hundred thirty-one million, one hundred sixty-one thousand, forty".