3641160000 has 280 divisors, whose sum is σ = 12680066080. Its totient is φ = 919296000.

The previous prime is 3641159999. The next prime is 3641160001. The reversal of 3641160000 is 611463.

It is an interprime number because it is at equal distance from previous prime (3641159999) and next prime (3641160001).

It is a super-2 number, since 2×3641160000² = 26516092291200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3641160001) 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 39 ways as a sum of consecutive naturals, for example, 2279202 + ... + 2280798.

Almost surely, 2^3641160000 is an apocalyptic number.

3641160000 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 3641160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340033040).

3641160000 is an abundant number, since it is smaller than the sum of its proper divisors (9038906080).

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

3641160000 is a wasteful number, since it uses less digits than its factorization.

3641160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3641160000 is about 60342.0251566021. The cubic root of 3641160000 is about 1538.4377252724.

Adding to 3641160000 its reverse (611463), we get a palindrome (3641771463).

The spelling of 3641160000 in words is "three billion, six hundred forty-one million, one hundred sixty thousand".