3505889136960 has 336 divisors, whose sum is σ = 13783604006016. Its totient is φ = 801222782976.

The previous prime is 3505889136947. The next prime is 3505889136989. The reversal of 3505889136960 is 696319885053.

3505889136960 is a `hidden beast` number, since 3 + 50 + 5 + 88 + 91 + 369 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 224110899 + ... + 224126541.

Almost surely, 2^{3505889136960} is an apocalyptic number.

3505889136960 is a gapful number since it is divisible by the number (30) 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 3505889136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6891802003008).

3505889136960 is an abundant number, since it is smaller than the sum of its proper divisors (10277714869056).

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

3505889136960 is a wasteful number, since it uses less digits than its factorization.

3505889136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26790 (or 26777 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 3505889136960 in words is "three trillion, five hundred five billion, eight hundred eighty-nine million, one hundred thirty-six thousand, nine hundred sixty".