3500321433408 has 168 divisors, whose sum is σ = 10307345473152. Its totient is φ = 1134893140992.

The previous prime is 3500321433331. The next prime is 3500321433449. The reversal of 3500321433408 is 8043341230053.

3500321433408 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 3 + 214 + 33 + 408 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75144141 + ... + 75190707.

It is an arithmetic number, because the mean of its divisors is an integer number (61353246864).

Almost surely, 2^{3500321433408} 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 3500321433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153672736576).

3500321433408 is an abundant number, since it is smaller than the sum of its proper divisors (6807024039744).

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

3500321433408 is a wasteful number, since it uses less digits than its factorization.

3500321433408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50149 (or 50136 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3500321433408 in words is "three trillion, five hundred billion, three hundred twenty-one million, four hundred thirty-three thousand, four hundred eight".