3138794265600 has 1584 divisors, whose sum is σ = 13684781260800. Its totient is φ = 671007375360.

The previous prime is 3138794265569. The next prime is 3138794265601. The reversal of 3138794265600 is 65624978313.

3138794265600 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 7 + 9 + 4 + 26 + 5 + 600 = 666.

3138794265600 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 not an unprimeable number, because it can be changed into a prime (3138794265601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6552806161 + ... + 6552806639.

It is a 1-persistent number, because it is pandigital, but 2⋅3138794265600 = 6277588531200 is not.

Almost surely, 2^{3138794265600} is an apocalyptic number.

3138794265600 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 3138794265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842390630400).

3138794265600 is an abundant number, since it is smaller than the sum of its proper divisors (10545986995200).

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

3138794265600 is a wasteful number, since it uses less digits than its factorization.

3138794265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3138794265600 in words is "three trillion, one hundred thirty-eight billion, seven hundred ninety-four million, two hundred sixty-five thousand, six hundred".