3508554955968 has 336 divisors, whose sum is σ = 10569071185920. Its totient is φ = 1111337164800.

The previous prime is 3508554955967. The next prime is 3508554956017. The reversal of 3508554955968 is 8695594558053.

3508554955968 is a `hidden beast` number, since 3 + 5 + 0 + 8 + 5 + 5 + 4 + 9 + 559 + 68 = 666.

3508554955968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3508554955968² (a number of 26 digits) contains 22 as substring.

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 = 3508554955896 and 3508554955905.

It is not an unprimeable number, because it can be changed into a prime (3508554955967) 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, 1433817721 + ... + 1433820167.

Almost surely, 2^{3508554955968} 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 3508554955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284535592960).

3508554955968 is an abundant number, since it is smaller than the sum of its proper divisors (7060516229952).

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

3508554955968 is a wasteful number, since it uses less digits than its factorization.

3508554955968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 1166400000, while the sum is 72.

The spelling of 3508554955968 in words is "three trillion, five hundred eight billion, five hundred fifty-four million, nine hundred fifty-five thousand, nine hundred sixty-eight".