3641413360 has 320 divisors, whose sum is σ = 10079354880. Its totient is φ = 1212456960.

The previous prime is 3641413309. The next prime is 3641413367. The reversal of 3641413360 is 633141463.

It is a happy number.

3641413360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3641413367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46093801 + ... + 46093879.

It is an arithmetic number, because the mean of its divisors is an integer number (31497984).

Almost surely, 2^3641413360 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 3641413360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039677440).

3641413360 is an abundant number, since it is smaller than the sum of its proper divisors (6437941520).

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

3641413360 is a wasteful number, since it uses less digits than its factorization.

3641413360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 3641413360 is about 60344.1244861503. The cubic root of 3641413360 is about 1538.4734070828.

The spelling of 3641413360 in words is "three billion, six hundred forty-one million, four hundred thirteen thousand, three hundred sixty".