3601121664 has 128 divisors (see below), whose sum is σ = 11064372480. Its totient is φ = 1016432640.

The previous prime is 3601121663. The next prime is 3601121669. The reversal of 3601121664 is 4661211063.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3601121663) 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, 215034 + ... + 231174.

It is an arithmetic number, because the mean of its divisors is an integer number (86440410).

Almost surely, 2^3601121664 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 3601121664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532186240).

3601121664 is an abundant number, since it is smaller than the sum of its proper divisors (7463250816).

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

3601121664 is a wasteful number, since it uses less digits than its factorization.

3601121664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16248 (or 16236 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3601121664 is about 60009.3464720288. The cubic root of 3601121664 is about 1532.7780226479.

It can be divided in two parts, 36011 and 21664, that added together give a palindrome (57675).

The spelling of 3601121664 in words is "three billion, six hundred one million, one hundred twenty-one thousand, six hundred sixty-four".