3443225610096 has 160 divisors (see below), whose sum is σ = 9914273928000. Its totient is φ = 1144152345600.

The previous prime is 3443225610073. The next prime is 3443225610119. The reversal of 3443225610096 is 6900165223443.

3443225610096 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 2 + 25 + 610 + 0 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3443225610073) and next prime (3443225610119).

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, 334256146 + ... + 334266446.

It is an arithmetic number, because the mean of its divisors is an integer number (61964212050).

Almost surely, 2^{3443225610096} is an apocalyptic number.

3443225610096 is a gapful number since it is divisible by the number (36) 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 3443225610096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957136964000).

3443225610096 is an abundant number, since it is smaller than the sum of its proper divisors (6471048317904).

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

3443225610096 is a wasteful number, since it uses less digits than its factorization.

3443225610096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12664 (or 12652 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3443225610096 in words is "three trillion, four hundred forty-three billion, two hundred twenty-five million, six hundred ten thousand, ninety-six".