3521656111104 has 360 divisors, whose sum is σ = 10441571540400. Its totient is φ = 1143107223552.

The previous prime is 3521656111091. The next prime is 3521656111117. The reversal of 3521656111104 is 4011116561253.

3521656111104 is a `hidden beast` number, since 3 + 5 + 21 + 6 + 5 + 611 + 1 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3521656111091) and next prime (3521656111117).

It is a super-2 number, since 2×3521656111104² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2846932374 + ... + 2846933610.

It is an arithmetic number, because the mean of its divisors is an integer number (29004365390).

Almost surely, 2^{3521656111104} 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 3521656111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220785770200).

3521656111104 is an abundant number, since it is smaller than the sum of its proper divisors (6919915429296).

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

3521656111104 is a wasteful number, since it uses less digits than its factorization.

3521656111104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 3521656111104 in words is "three trillion, five hundred twenty-one billion, six hundred fifty-six million, one hundred eleven thousand, one hundred four".