3496600352256 has 320 divisors, whose sum is σ = 10803956359680. Its totient is φ = 994378711040.

The previous prime is 3496600352243. The next prime is 3496600352263. The reversal of 3496600352256 is 6522530066943.

It is a junction number, because it is equal to n+sod(n) for n = 3496600352199 and 3496600352208.

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, 20511340 + ... + 20681108.

It is an arithmetic number, because the mean of its divisors is an integer number (33762363624).

Almost surely, 2^{3496600352256} 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 3496600352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401978179840).

3496600352256 is an abundant number, since it is smaller than the sum of its proper divisors (7307356007424).

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

3496600352256 is a wasteful number, since it uses less digits than its factorization.

3496600352256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169877 (or 169861 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 51.

The spelling of 3496600352256 in words is "three trillion, four hundred ninety-six billion, six hundred million, three hundred fifty-two thousand, two hundred fifty-six".