3452984975664 has 300 divisors, whose sum is σ = 11632108258584. Its totient is φ = 986015213568.

The previous prime is 3452984975659. The next prime is 3452984975683. The reversal of 3452984975664 is 4665794892543.

3452984975664 is a `hidden beast` number, since 3 + 4 + 5 + 29 + 8 + 497 + 56 + 64 = 666.

3452984975664 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-3 number, since 3×3452984975664³ (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 = 3452984975592 and 3452984975601.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 121087872 + ... + 121116384.

Almost surely, 2^{3452984975664} 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 3452984975664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816054129292).

3452984975664 is an abundant number, since it is smaller than the sum of its proper divisors (8179123282920).

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

3452984975664 is a wasteful number, since it uses less digits than its factorization.

3452984975664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30454 (or 30432 counting only the distinct ones).

The product of its digits is 1567641600, while the sum is 72.

The spelling of 3452984975664 in words is "three trillion, four hundred fifty-two billion, nine hundred eighty-four million, nine hundred seventy-five thousand, six hundred sixty-four".