3491718658560 has 3200 divisors, whose sum is σ = 15605926871040. Its totient is φ = 735746457600.

The previous prime is 3491718658453. The next prime is 3491718658573. The reversal of 3491718658560 is 658568171943.

3491718658560 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 7 + 1 + 8 + 65 + 8 + 560 = 666.

It is a super-3 number, since 3×3491718658560³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30900165064 + ... + 30900165176.

Almost surely, 2^{3491718658560} is an apocalyptic number.

3491718658560 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 3491718658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7802963435520).

3491718658560 is an abundant number, since it is smaller than the sum of its proper divisors (12114208212480).

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

3491718658560 is a wasteful number, since it uses less digits than its factorization.

3491718658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 3491718658560 in words is "three trillion, four hundred ninety-one billion, seven hundred eighteen million, six hundred fifty-eight thousand, five hundred sixty".