3738629085240 has 192 divisors, whose sum is σ = 13050472118400. Its totient is φ = 854319820032.

The previous prime is 3738629085199. The next prime is 3738629085259. The reversal of 3738629085240 is 425809268373.

3738629085240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22891791 + ... + 23054529.

It is an arithmetic number, because the mean of its divisors is an integer number (67971208950).

Almost surely, 2^{3738629085240} is an apocalyptic number.

3738629085240 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 3738629085240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525236059200).

3738629085240 is an abundant number, since it is smaller than the sum of its proper divisors (9311843033160).

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

3738629085240 is a wasteful number, since it uses less digits than its factorization.

3738629085240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166674 (or 166663 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 3738629085240 in words is "three trillion, seven hundred thirty-eight billion, six hundred twenty-nine million, eighty-five thousand, two hundred forty".