3738843795456 has 1040 divisors, whose sum is σ = 14745828746880. Its totient is φ = 913896898560.

The previous prime is 3738843795443. The next prime is 3738843795461. The reversal of 3738843795456 is 6545973488373.

3738843795456 is a `hidden beast` number, since 3 + 7 + 3 + 8 + 8 + 4 + 3 + 79 + 545 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 434290480 + ... + 434299088.

Almost surely, 2^{3738843795456} is an apocalyptic number.

3738843795456 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 3738843795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7372914373440).

3738843795456 is an abundant number, since it is smaller than the sum of its proper divisors (11006984951424).

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

3738843795456 is a wasteful number, since it uses less digits than its factorization.

3738843795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8680 (or 8649 counting only the distinct ones).

The product of its digits is 1828915200, while the sum is 72.

The spelling of 3738843795456 in words is "three trillion, seven hundred thirty-eight billion, eight hundred forty-three million, seven hundred ninety-five thousand, four hundred fifty-six".