3749242024448 has 90 divisors (see below), whose sum is σ = 7589865322347. Its totient is φ = 1850238868480.

The previous prime is 3749242024433. The next prime is 3749242024459. The reversal of 3749242024448 is 8444202429473.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1874621012224 + 1874621012224 = 1369168^2 + 1369168^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1369168.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3749242024448.

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 8 ways as a sum of consecutive naturals, for example, 3636509693 + ... + 3636510723.

Almost surely, 2^{3749242024448} 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 3749242024448

3749242024448 is an abundant number, since it is smaller than the sum of its proper divisors (3840623297899).

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

3749242024448 is an frugal number, since it uses more digits than its factorization.

3749242024448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 53.

The spelling of 3749242024448 in words is "three trillion, seven hundred forty-nine billion, two hundred forty-two million, twenty-four thousand, four hundred forty-eight".