3200048755344 has 320 divisors, whose sum is σ = 10790005824000. Its totient is φ = 907620166656.

The previous prime is 3200048755327. The next prime is 3200048755349. The reversal of 3200048755344 is 4435578400023.

3200048755344 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 0 + 48 + 75 + 534 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3200048755344.

It is not an unprimeable number, because it can be changed into a prime (3200048755349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20221294 + ... + 20378930.

It is an arithmetic number, because the mean of its divisors is an integer number (33718768200).

Almost surely, 2^{3200048755344} 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 3200048755344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395002912000).

3200048755344 is an abundant number, since it is smaller than the sum of its proper divisors (7589957068656).

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

3200048755344 is a wasteful number, since it uses less digits than its factorization.

3200048755344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157812 (or 157786 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 3200048755344 in words is "three trillion, two hundred billion, forty-eight million, seven hundred fifty-five thousand, three hundred forty-four".