3500138173056 has 256 divisors, whose sum is σ = 11307582063360. Its totient is φ = 936433483776.

The previous prime is 3500138173033. The next prime is 3500138173057. The reversal of 3500138173056 is 6503718310053.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3500138172999 and 3500138173017.

It is not an unprimeable number, because it can be changed into a prime (3500138173057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8807706 + ... + 9196518.

It is an arithmetic number, because the mean of its divisors is an integer number (44170242435).

Almost surely, 2^{3500138173056} 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 3500138173056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653791031680).

3500138173056 is an abundant number, since it is smaller than the sum of its proper divisors (7807443890304).

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

3500138173056 is a wasteful number, since it uses less digits than its factorization.

3500138173056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389051 (or 389039 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 3500138173056 in words is "three trillion, five hundred billion, one hundred thirty-eight million, one hundred seventy-three thousand, fifty-six".