3661160000 has 70 divisors (see below), whose sum is σ = 9078586110. Its totient is φ = 1464448000.

The previous prime is 3661159961. The next prime is 3661160003. The reversal of 3661160000 is 611663.

It can be written as a sum of positive squares in 5 ways, for example, as 2612436544 + 1048723456 = 51112^2 + 32384^2 .

It is not an unprimeable number, because it can be changed into a prime (3661160003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5765 + ... + 85764.

Almost surely, 2^3661160000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539293055).

3661160000 is an abundant number, since it is smaller than the sum of its proper divisors (5417426110).

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

3661160000 is an frugal number, since it uses more digits than its factorization.

3661160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91561 (or 91536 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 3661160000 is about 60507.5201937743. The cubic root of 3661160000 is about 1541.2493375708.

Adding to 3661160000 its reverse (611663), we get a palindrome (3661771663).

The spelling of 3661160000 in words is "three billion, six hundred sixty-one million, one hundred sixty thousand".