3738715854336 has 560 divisors, whose sum is σ = 11727149173344. Its totient is φ = 1187967762432.

The previous prime is 3738715854311. The next prime is 3738715854337. The reversal of 3738715854336 is 6334585178373.

It is a happy number.

3738715854336 is a `hidden beast` number, since 3 + 7 + 3 + 8 + 7 + 1 + 58 + 543 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3738715854337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3408126940 + ... + 3408128036.

Almost surely, 2^{3738715854336} is an apocalyptic number.

3738715854336 is a gapful number since it is divisible by the number (36) 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 3738715854336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863574586672).

3738715854336 is an abundant number, since it is smaller than the sum of its proper divisors (7988433319008).

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

3738715854336 is an equidigital number, since it uses as much as digits as its factorization.

3738715854336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1522 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 3738715854336 in words is "three trillion, seven hundred thirty-eight billion, seven hundred fifteen million, eight hundred fifty-four thousand, three hundred thirty-six".