3496260006288 has 960 divisors, whose sum is σ = 12479663472640. Its totient is φ = 916809062400.

The previous prime is 3496260006229. The next prime is 3496260006289. The reversal of 3496260006288 is 8826000626943.

3496260006288 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 2 + 6 + 0 + 0 + 0 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3496260006289) 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 191 ways as a sum of consecutive naturals, for example, 4809160581 + ... + 4809161307.

Almost surely, 2^{3496260006288} 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 3496260006288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239831736320).

3496260006288 is an abundant number, since it is smaller than the sum of its proper divisors (8983403466352).

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

3496260006288 is a wasteful number, since it uses less digits than its factorization.

3496260006288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3496260006288 in words is "three trillion, four hundred ninety-six billion, two hundred sixty million, six thousand, two hundred eighty-eight".