3496626098112 has 224 divisors, whose sum is σ = 11160946944000. Its totient is φ = 964585982976.

The previous prime is 3496626098099. The next prime is 3496626098177. The reversal of 3496626098112 is 2118906266943.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 994393 + ... + 2825255.

It is an arithmetic number, because the mean of its divisors is an integer number (49825656000).

Almost surely, 2^{3496626098112} is an apocalyptic number.

3496626098112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3496626098112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580473472000).

3496626098112 is an abundant number, since it is smaller than the sum of its proper divisors (7664320845888).

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

3496626098112 is a wasteful number, since it uses less digits than its factorization.

3496626098112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830928 (or 1830904 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 3496626098112 in words is "three trillion, four hundred ninety-six billion, six hundred twenty-six million, ninety-eight thousand, one hundred twelve".