3521439387648 has 1664 divisors, whose sum is σ = 13526027648000. Its totient is φ = 898948399104.

The previous prime is 3521439387619. The next prime is 3521439387691. The reversal of 3521439387648 is 8467839341253.

It is a happy number.

3521439387648 is a `hidden beast` number, since 3 + 5 + 214 + 39 + 387 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

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 127 ways as a sum of consecutive naturals, for example, 18245799840 + ... + 18245800032.

Almost surely, 2^{3521439387648} 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 3521439387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763013824000).

3521439387648 is an abundant number, since it is smaller than the sum of its proper divisors (10004588260352).

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

3521439387648 is a wasteful number, since it uses less digits than its factorization.

3521439387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 255 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 3521439387648 in words is "three trillion, five hundred twenty-one billion, four hundred thirty-nine million, three hundred eighty-seven thousand, six hundred forty-eight".