3601188864 has 576 divisors, whose sum is σ = 13594089600. Its totient is φ = 891813888.

The previous prime is 3601188859. The next prime is 3601188869. The reversal of 3601188864 is 4688811063.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3601188859) and next prime (3601188869).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3601188864² = 25937122468395220992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3601188869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31868872 + ... + 31868984.

It is an arithmetic number, because the mean of its divisors is an integer number (23600850).

Almost surely, 2^3601188864 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 3601188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797044800).

3601188864 is an abundant number, since it is smaller than the sum of its proper divisors (9992900736).

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

3601188864 is a wasteful number, since it uses less digits than its factorization.

3601188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3601188864 is about 60009.9063821966. The cubic root of 3601188864 is about 1532.7875569035.

The spelling of 3601188864 in words is "three billion, six hundred one million, one hundred eighty-eight thousand, eight hundred sixty-four".