3601658032128 has 936 divisors, whose sum is σ = 12162328109568. Its totient is φ = 1017262374912.

The previous prime is 3601658032039. The next prime is 3601658032139. The reversal of 3601658032128 is 8212308561063.

3601658032128 is a `hidden beast` number, since 3 + 6 + 0 + 16 + 580 + 32 + 1 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28359512001 + ... + 28359512127.

It is an arithmetic number, because the mean of its divisors is an integer number (12993940288).

Almost surely, 2^{3601658032128} 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 3601658032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081164054784).

3601658032128 is an abundant number, since it is smaller than the sum of its proper divisors (8560670077440).

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

3601658032128 is a wasteful number, since it uses less digits than its factorization.

3601658032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3601658032128 in words is "three trillion, six hundred one billion, six hundred fifty-eight million, thirty-two thousand, one hundred twenty-eight".