3748248514560 has 1664 divisors, whose sum is σ = 14321631928320. Its totient is φ = 827876966400.

The previous prime is 3748248514553. The next prime is 3748248514579. The reversal of 3748248514560 is 654158428473.

It is a self number, because there is not a number n which added to its sum of digits gives 3748248514560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55944007647 + ... + 55944007713.

Almost surely, 2^{3748248514560} is an apocalyptic number.

3748248514560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3748248514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160815964160).

3748248514560 is an abundant number, since it is smaller than the sum of its proper divisors (10573383413760).

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

3748248514560 is a wasteful number, since it uses less digits than its factorization.

3748248514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 3748248514560 in words is "three trillion, seven hundred forty-eight billion, two hundred forty-eight million, five hundred fourteen thousand, five hundred sixty".