3493708478208 has 1296 divisors, whose sum is σ = 12126466598400. Its totient is φ = 991320145920.

The previous prime is 3493708478207. The next prime is 3493708478257. The reversal of 3493708478208 is 8028748073943.

3493708478208 is a `hidden beast` number, since 3 + 4 + 93 + 70 + 8 + 478 + 2 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3493708478203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26669530303 + ... + 26669530433.

Almost surely, 2^{3493708478208} 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 3493708478208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063233299200).

3493708478208 is an abundant number, since it is smaller than the sum of its proper divisors (8632758120192).

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

3493708478208 is a wasteful number, since it uses less digits than its factorization.

3493708478208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 3493708478208 in words is "three trillion, four hundred ninety-three billion, seven hundred eight million, four hundred seventy-eight thousand, two hundred eight".