3722007044448 has 288 divisors, whose sum is σ = 13251439918080. Its totient is φ = 962708705280.

The previous prime is 3722007044423. The next prime is 3722007044453. The reversal of 3722007044448 is 8444407002273.

3722007044448 is a `hidden beast` number, since 372 + 200 + 70 + 4 + 4 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 4948936 + ... + 5651192.

It is an arithmetic number, because the mean of its divisors is an integer number (46011944160).

Almost surely, 2^{3722007044448} 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 3722007044448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625719959040).

3722007044448 is an abundant number, since it is smaller than the sum of its proper divisors (9529432873632).

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

3722007044448 is a wasteful number, since it uses less digits than its factorization.

3722007044448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702530 (or 702519 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 3722007044448 in words is "three trillion, seven hundred twenty-two billion, seven million, forty-four thousand, four hundred forty-eight".