3535473397968 has 400 divisors, whose sum is σ = 10684221166080. Its totient is φ = 1127296300032.

The previous prime is 3535473397961. The next prime is 3535473397969. The reversal of 3535473397968 is 8697933745353.

3535473397968 is a `hidden beast` number, since 3 + 5 + 3 + 5 + 473 + 3 + 97 + 9 + 68 = 666.

It is a super-3 number, since 3×3535473397968³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 3535473397896 and 3535473397905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3535473397961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2256204321 + ... + 2256205887.

Almost surely, 2^{3535473397968} 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 3535473397968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342110583040).

3535473397968 is an abundant number, since it is smaller than the sum of its proper divisors (7148747768112).

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

3535473397968 is a wasteful number, since it uses less digits than its factorization.

3535473397968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2121 counting only the distinct ones).

The product of its digits is 1543147200, while the sum is 72.

The spelling of 3535473397968 in words is "three trillion, five hundred thirty-five billion, four hundred seventy-three million, three hundred ninety-seven thousand, nine hundred sixty-eight".