3791160000 has 210 divisors, whose sum is σ = 13580287292. Its totient is φ = 1010880000.

The previous prime is 3791159969. The next prime is 3791160001. The reversal of 3791160000 is 611973.

It is not an unprimeable number, because it can be changed into a prime (3791160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 354735 + ... + 365265.

Almost surely, 2^3791160000 is an apocalyptic number.

3791160000 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 3791160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790143646).

3791160000 is an abundant number, since it is smaller than the sum of its proper divisors (9789127292).

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

3791160000 is a wasteful number, since it uses less digits than its factorization.

3791160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10569 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 3791160000 is about 61572.3964126783. The cubic root of 3791160000 is about 1559.2797464048.

Adding to 3791160000 its reverse (611973), we get a palindrome (3791771973).

The spelling of 3791160000 in words is "three billion, seven hundred ninety-one million, one hundred sixty thousand".