3513648595968 has 880 divisors, whose sum is σ = 12668892825600. Its totient is φ = 947572162560.

The previous prime is 3513648595921. The next prime is 3513648595997. The reversal of 3513648595968 is 8695958463153.

3513648595968 is a `hidden beast` number, since 3 + 5 + 1 + 36 + 485 + 9 + 59 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3513648595896 and 3513648595905.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4754598543 + ... + 4754599281.

It is an arithmetic number, because the mean of its divisors is an integer number (14396469120).

Almost surely, 2^{3513648595968} is an apocalyptic number.

3513648595968 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 3513648595968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334446412800).

3513648595968 is an abundant number, since it is smaller than the sum of its proper divisors (9155244229632).

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

3513648595968 is a wasteful number, since it uses less digits than its factorization.

3513648595968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1201 counting only the distinct ones).

The product of its digits is 839808000, while the sum is 72.

The spelling of 3513648595968 in words is "three trillion, five hundred thirteen billion, six hundred forty-eight million, five hundred ninety-five thousand, nine hundred sixty-eight".