3641605120 has 176 divisors, whose sum is σ = 9184970880. Its totient is φ = 1383727104.

The previous prime is 3641605103. The next prime is 3641605133. The reversal of 3641605120 is 215061463.

It is a super-2 number, since 2×3641605120² = 26522575700020428800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8903476 + ... + 8903884.

Almost surely, 2^3641605120 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 3641605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592485440).

3641605120 is an abundant number, since it is smaller than the sum of its proper divisors (5543365760).

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

3641605120 is a wasteful number, since it uses less digits than its factorization.

3641605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 3641605120 is about 60345.7133523169. The cubic root of 3641605120 is about 1538.5004123921.

Adding to 3641605120 its reverse (215061463), we get a palindrome (3856666583).

The spelling of 3641605120 in words is "three billion, six hundred forty-one million, six hundred five thousand, one hundred twenty".