3503689107968 has 320 divisors, whose sum is σ = 8501611219200. Its totient is φ = 1410868838400.

The previous prime is 3503689107931. The next prime is 3503689107973. The reversal of 3503689107968 is 8697019863053.

It is a super-2 number, since 2×3503689107968² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 619351796 + ... + 619357452.

It is an arithmetic number, because the mean of its divisors is an integer number (26567535060).

Almost surely, 2^{3503689107968} 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 3503689107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250805609600).

3503689107968 is an abundant number, since it is smaller than the sum of its proper divisors (4997922111232).

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

3503689107968 is a wasteful number, since it uses less digits than its factorization.

3503689107968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 65.

The spelling of 3503689107968 in words is "three trillion, five hundred three billion, six hundred eighty-nine million, one hundred seven thousand, nine hundred sixty-eight".