3506302772736 has 320 divisors, whose sum is σ = 9797374642176. Its totient is φ = 1112953651200.

The previous prime is 3506302772719. The next prime is 3506302772783. The reversal of 3506302772736 is 6372772036053.

It is a congruent number.

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, 1936113271 + ... + 1936115081.

Almost surely, 2^{3506302772736} 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 3506302772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898687321088).

3506302772736 is an abundant number, since it is smaller than the sum of its proper divisors (6291071869440).

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

3506302772736 is a wasteful number, since it uses less digits than its factorization.

3506302772736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 51.

The spelling of 3506302772736 in words is "three trillion, five hundred six billion, three hundred two million, seven hundred seventy-two thousand, seven hundred thirty-six".