3641866368 has 128 divisors (see below), whose sum is σ = 11536542720. Its totient is φ = 995275776.

The previous prime is 3641866339. The next prime is 3641866387. The reversal of 3641866368 is 8636681463.

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

It is a super-2 number, since 2×3641866368² = 26526381284739022848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3641866368.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32371 + ... + 91277.

It is an arithmetic number, because the mean of its divisors is an integer number (90129240).

Almost surely, 2^3641866368 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 3641866368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768271360).

3641866368 is an abundant number, since it is smaller than the sum of its proper divisors (7894676352).

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

3641866368 is a wasteful number, since it uses less digits than its factorization.

3641866368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58954 (or 58942 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 51.

The square root of 3641866368 is about 60347.8779080093. The cubic root of 3641866368 is about 1538.5372020797.

The spelling of 3641866368 in words is "three billion, six hundred forty-one million, eight hundred sixty-six thousand, three hundred sixty-eight".