3496114384704 has 280 divisors, whose sum is σ = 10975599210048. Its totient is φ = 1098063267840.

The previous prime is 3496114384703. The next prime is 3496114384733. The reversal of 3496114384704 is 4074834116943.

3496114384704 is a `hidden beast` number, since 3 + 496 + 1 + 1 + 4 + 3 + 84 + 70 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3496114384703) 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 39 ways as a sum of consecutive naturals, for example, 7769724 + ... + 8207364.

Almost surely, 2^{3496114384704} 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 3496114384704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487799605024).

3496114384704 is an abundant number, since it is smaller than the sum of its proper divisors (7479484825344).

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

3496114384704 is a wasteful number, since it uses less digits than its factorization.

3496114384704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437755 (or 437736 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3496114384704 in words is "three trillion, four hundred ninety-six billion, one hundred fourteen million, three hundred eighty-four thousand, seven hundred four".