3748065205248 has 704 divisors, whose sum is σ = 13849306347520. Its totient is φ = 974911832064.

The previous prime is 3748065205217. The next prime is 3748065205249. The reversal of 3748065205248 is 8425025608473.

3748065205248 is a `hidden beast` number, since 3 + 74 + 8 + 0 + 6 + 520 + 5 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3748065205194 and 3748065205203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3748065205249) 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, 183655461 + ... + 183675867.

Almost surely, 2^{3748065205248} 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 3748065205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924653173760).

3748065205248 is an abundant number, since it is smaller than the sum of its proper divisors (10101241142272).

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

3748065205248 is a wasteful number, since it uses less digits than its factorization.

3748065205248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20529 (or 20505 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 3748065205248 in words is "three trillion, seven hundred forty-eight billion, sixty-five million, two hundred five thousand, two hundred forty-eight".