3601363968 has 264 divisors, whose sum is σ = 11099980320. Its totient is φ = 1121402880.

The previous prime is 3601363951. The next prime is 3601363999. The reversal of 3601363968 is 8693631063.

3601363968 is a `hidden beast` number, since 3 + 6 + 0 + 1 + 3 + 639 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22938546 + ... + 22938702.

It is an arithmetic number, because the mean of its divisors is an integer number (42045380).

Almost surely, 2^3601363968 is an apocalyptic number.

3601363968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3601363968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549990160).

3601363968 is an abundant number, since it is smaller than the sum of its proper divisors (7498616352).

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

3601363968 is a wasteful number, since it uses less digits than its factorization.

3601363968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3601363968 is about 60011.3653235785. The cubic root of 3601363968 is about 1532.8123998921.

The spelling of 3601363968 in words is "three billion, six hundred one million, three hundred sixty-three thousand, nine hundred sixty-eight".