3521340135936 has 240 divisors, whose sum is σ = 11617374857088. Its totient is φ = 1005861888000.

The previous prime is 3521340135917. The next prime is 3521340135977. The reversal of 3521340135936 is 6395310431253.

3521340135936 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 3 + 40 + 13 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3521340135891 and 3521340135900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175172286 + ... + 175192386.

Almost surely, 2^{3521340135936} is an apocalyptic number.

3521340135936 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 3521340135936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808687428544).

3521340135936 is an abundant number, since it is smaller than the sum of its proper divisors (8096034721152).

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

3521340135936 is a wasteful number, since it uses less digits than its factorization.

3521340135936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25563 (or 25544 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 3521340135936 in words is "three trillion, five hundred twenty-one billion, three hundred forty million, one hundred thirty-five thousand, nine hundred thirty-six".