3161134080 has 352 divisors, whose sum is σ = 12105139200. Its totient is φ = 777682944.

The previous prime is 3161134073. The next prime is 3161134117. The reversal of 3161134080 is 804311613.

3161134080 is a `hidden beast` number, since 3 + 1 + 611 + 3 + 40 + 8 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1796241 + ... + 1797999.

It is an arithmetic number, because the mean of its divisors is an integer number (34389600).

Almost surely, 2^3161134080 is an apocalyptic number.

3161134080 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 3161134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052569600).

3161134080 is an abundant number, since it is smaller than the sum of its proper divisors (8944005120).

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

3161134080 is a wasteful number, since it uses less digits than its factorization.

3161134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1782 counting only the distinct ones).

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

The square root of 3161134080 is about 56223.9635742625. The cubic root of 3161134080 is about 1467.6223119914.

Adding to 3161134080 its reverse (804311613), we get a palindrome (3965445693).

The spelling of 3161134080 in words is "three billion, one hundred sixty-one million, one hundred thirty-four thousand, eighty".