3471242442528 has 192 divisors, whose sum is σ = 10559835482112. Its totient is φ = 977877411840.

The previous prime is 3471242442467. The next prime is 3471242442529. The reversal of 3471242442528 is 8252442421743.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3471242442529) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 177720123 + ... + 177739653.

It is an arithmetic number, because the mean of its divisors is an integer number (54999143136).

Almost surely, 2^{3471242442528} 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 3471242442528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279917741056).

3471242442528 is an abundant number, since it is smaller than the sum of its proper divisors (7088593039584).

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

3471242442528 is a wasteful number, since it uses less digits than its factorization.

3471242442528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23247 (or 23239 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 48.

The spelling of 3471242442528 in words is "three trillion, four hundred seventy-one billion, two hundred forty-two million, four hundred forty-two thousand, five hundred twenty-eight".