3442234004176 has 80 divisors (see below), whose sum is σ = 7398408846528. Its totient is φ = 1538337715200.

The previous prime is 3442234004119. The next prime is 3442234004227. The reversal of 3442234004176 is 6714004322443.

It is a happy number.

It is a super-3 number, since 3×3442234004176³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5863486 + ... + 6423778.

Almost surely, 2^{3442234004176} 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 3442234004176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699204423264).

3442234004176 is an abundant number, since it is smaller than the sum of its proper divisors (3956174842352).

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

3442234004176 is a wasteful number, since it uses less digits than its factorization.

3442234004176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560900 (or 560894 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

The spelling of 3442234004176 in words is "three trillion, four hundred forty-two billion, two hundred thirty-four million, four thousand, one hundred seventy-six".