3521106671616 has 480 divisors, whose sum is σ = 10667801224080. Its totient is φ = 1161810542592.

The previous prime is 3521106671597. The next prime is 3521106671617. The reversal of 3521106671616 is 6161766011253.

3521106671616 is a `hidden beast` number, since 3 + 5 + 21 + 1 + 0 + 6 + 6 + 7 + 1 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3521106671617) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4555118206 + ... + 4555118978.

Almost surely, 2^{3521106671616} is an apocalyptic number.

3521106671616 is a gapful number since it is divisible by the number (36) 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 3521106671616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333900612040).

3521106671616 is an abundant number, since it is smaller than the sum of its proper divisors (7146694552464).

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

3521106671616 is an frugal number, since it uses more digits than its factorization.

3521106671616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 3521106671616 in words is "three trillion, five hundred twenty-one billion, one hundred six million, six hundred seventy-one thousand, six hundred sixteen".