3545659643904 has 768 divisors, whose sum is σ = 12425736960000. Its totient is φ = 998398033920.

The previous prime is 3545659643891. The next prime is 3545659643923. The reversal of 3545659643904 is 4093469565453.

3545659643904 is a `hidden beast` number, since 3 + 5 + 4 + 5 + 6 + 596 + 4 + 39 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3545659643904² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1346622172 + ... + 1346624804.

It is an arithmetic number, because the mean of its divisors is an integer number (16179345000).

Almost surely, 2^{3545659643904} 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 3545659643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212868480000).

3545659643904 is an abundant number, since it is smaller than the sum of its proper divisors (8880077316096).

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

3545659643904 is an equidigital number, since it uses as much as digits as its factorization.

3545659643904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 63.

The spelling of 3545659643904 in words is "three trillion, five hundred forty-five billion, six hundred fifty-nine million, six hundred forty-three thousand, nine hundred four".