3506339086360 has 256 divisors, whose sum is σ = 9224591040000. Its totient is φ = 1185957273600.

The previous prime is 3506339086357. The next prime is 3506339086373. The reversal of 3506339086360 is 636809336053.

It is a junction number, because it is equal to n+sod(n) for n = 3506339086298 and 3506339086307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 434540406 + ... + 434548474.

It is an arithmetic number, because the mean of its divisors is an integer number (36033558750).

Almost surely, 2^{3506339086360} 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 3506339086360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612295520000).

3506339086360 is an abundant number, since it is smaller than the sum of its proper divisors (5718251953640).

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

3506339086360 is a wasteful number, since it uses less digits than its factorization.

3506339086360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9050 (or 9046 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 52.

The spelling of 3506339086360 in words is "three trillion, five hundred six billion, three hundred thirty-nine million, eighty-six thousand, three hundred sixty".