3748355498880 has 512 divisors, whose sum is σ = 13555496448000. Its totient is φ = 978693636096.

The previous prime is 3748355498869. The next prime is 3748355498917. The reversal of 3748355498880 is 888945538473.

3748355498880 is a `hidden beast` number, since 3 + 7 + 4 + 8 + 3 + 55 + 498 + 8 + 80 = 666.

3748355498880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3748355498799 and 3748355498808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158393929 + ... + 158417591.

It is an arithmetic number, because the mean of its divisors is an integer number (26475579000).

Almost surely, 2^{3748355498880} is an apocalyptic number.

3748355498880 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 3748355498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777748224000).

3748355498880 is an abundant number, since it is smaller than the sum of its proper divisors (9807140949120).

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

3748355498880 is a wasteful number, since it uses less digits than its factorization.

3748355498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23883 (or 23865 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 3748355498880 in words is "three trillion, seven hundred forty-eight billion, three hundred fifty-five million, four hundred ninety-eight thousand, eight hundred eighty".