3452421740544 has 960 divisors, whose sum is σ = 12288117441600. Its totient is φ = 944876814336.

The previous prime is 3452421740527. The next prime is 3452421740597. The reversal of 3452421740544 is 4450471242543.

3452421740544 is a `hidden beast` number, since 3 + 4 + 5 + 24 + 217 + 405 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3452421740544.

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 79 ways as a sum of consecutive naturals, for example, 5287016122 + ... + 5287016774.

It is an arithmetic number, because the mean of its divisors is an integer number (12800122335).

Almost surely, 2^{3452421740544} 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 3452421740544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144058720800).

3452421740544 is an abundant number, since it is smaller than the sum of its proper divisors (8835695701056).

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

3452421740544 is a wasteful number, since it uses less digits than its factorization.

3452421740544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 45.

The spelling of 3452421740544 in words is "three trillion, four hundred fifty-two billion, four hundred twenty-one million, seven hundred forty thousand, five hundred forty-four".