3748916633280 has 1344 divisors, whose sum is σ = 16475843543040. Its totient is φ = 712039071744.

The previous prime is 3748916633249. The next prime is 3748916633291. The reversal of 3748916633280 is 823366198473.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 239096481 + ... + 239112159.

It is an arithmetic number, because the mean of its divisors is an integer number (12258812160).

Almost surely, 2^{3748916633280} is an apocalyptic number.

3748916633280 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 3748916633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8237921771520).

3748916633280 is an abundant number, since it is smaller than the sum of its proper divisors (12726926909760).

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

3748916633280 is a wasteful number, since it uses less digits than its factorization.

3748916633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15766 (or 15749 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 3748916633280 in words is "three trillion, seven hundred forty-eight billion, nine hundred sixteen million, six hundred thirty-three thousand, two hundred eighty".