3442210442496 has 756 divisors, whose sum is σ = 12277289497284. Its totient is φ = 959396659200.

The previous prime is 3442210442443. The next prime is 3442210442497. The reversal of 3442210442496 is 6942440122443.

It is a happy number.

3442210442496 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 210 + 4 + 424 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1026250041600 + 2415960400896 = 1013040^2 + 1554336^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442210442497) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 374923026 + ... + 374932206.

Almost surely, 2^{3442210442496} is an apocalyptic number.

3442210442496 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 3442210442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6138644748642).

3442210442496 is an abundant number, since it is smaller than the sum of its proper divisors (8835079054788).

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

3442210442496 is an frugal number, since it uses more digits than its factorization.

3442210442496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9270 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3442210442496 in words is "three trillion, four hundred forty-two billion, two hundred ten million, four hundred forty-two thousand, four hundred ninety-six".