3661356160 has 128 divisors (see below), whose sum is σ = 10912890240. Its totient is φ = 1141186560.

The previous prime is 3661356157. The next prime is 3661356161. The reversal of 3661356160 is 616531663.

3661356160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3661356161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12132 + ... + 86428.

It is an arithmetic number, because the mean of its divisors is an integer number (85256955).

Almost surely, 2^3661356160 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 3661356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456445120).

3661356160 is an abundant number, since it is smaller than the sum of its proper divisors (7251534080).

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

3661356160 is a wasteful number, since it uses less digits than its factorization.

3661356160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74334 (or 74322 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 3661356160 is about 60509.1411276015. The cubic root of 3661356160 is about 1541.2768630974.

The spelling of 3661356160 in words is "three billion, six hundred sixty-one million, three hundred fifty-six thousand, one hundred sixty".