3738415275504 has 1440 divisors, whose sum is σ = 14344841871360. Its totient is φ = 897192640512.

The previous prime is 3738415275503. The next prime is 3738415275611. The reversal of 3738415275504 is 4055725148373.

3738415275504 is a `hidden beast` number, since 3 + 7 + 3 + 84 + 1 + 5 + 2 + 7 + 550 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3738415275503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8515752117 + ... + 8515752555.

It is an arithmetic number, because the mean of its divisors is an integer number (9961695744).

Almost surely, 2^{3738415275504} is an apocalyptic number.

3738415275504 is a gapful number since it is divisible by the number (34) 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 3738415275504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7172420935680).

3738415275504 is an abundant number, since it is smaller than the sum of its proper divisors (10606426595856).

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

3738415275504 is a wasteful number, since it uses less digits than its factorization.

3738415275504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 3738415275504 in words is "three trillion, seven hundred thirty-eight billion, four hundred fifteen million, two hundred seventy-five thousand, five hundred four".