3442236672 has 432 divisors, whose sum is σ = 11509126272. Its totient is φ = 908328960.

The previous prime is 3442236667. The next prime is 3442236737. The reversal of 3442236672 is 2766322443.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3442236672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35486928 + ... + 35487024.

It is an arithmetic number, because the mean of its divisors is an integer number (26641496).

Almost surely, 2^3442236672 is an apocalyptic number.

3442236672 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 3442236672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754563136).

3442236672 is an abundant number, since it is smaller than the sum of its proper divisors (8066889600).

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

3442236672 is a wasteful number, since it uses less digits than its factorization.

3442236672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

The product of its digits is 290304, while the sum is 39.

The square root of 3442236672 is about 58670.5775666134. The cubic root of 3442236672 is about 1509.8955634391.

The spelling of 3442236672 in words is "three billion, four hundred forty-two million, two hundred thirty-six thousand, six hundred seventy-two".