3542448126672 has 480 divisors, whose sum is σ = 12549107916800. Its totient is φ = 926894223360.

The previous prime is 3542448126601. The next prime is 3542448126683. The reversal of 3542448126672 is 2766218442453.

It is a happy number.

3542448126672 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 448 + 126 + 6 + 72 = 666.

3542448126672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3542448126672³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81524472 + ... + 81567912.

Almost surely, 2^{3542448126672} 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 3542448126672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274553958400).

3542448126672 is an abundant number, since it is smaller than the sum of its proper divisors (9006659790128).

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

3542448126672 is a wasteful number, since it uses less digits than its factorization.

3542448126672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43616 (or 43593 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 3542448126672 in words is "three trillion, five hundred forty-two billion, four hundred forty-eight million, one hundred twenty-six thousand, six hundred seventy-two".