838395746400 has 144 divisors (see below), whose sum is σ = 2731172850000. Its totient is φ = 223392399360.

The previous prime is 838395746369. The next prime is 838395746407. The reversal of 838395746400 is 4647593838.

It is a super-2 number, since 2×838395746400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838395746407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2857756 + ... + 3137444.

It is an arithmetic number, because the mean of its divisors is an integer number (18966478125).

Almost surely, 2^838395746400 is an apocalyptic number.

838395746400 is a gapful number since it is divisible by the number (80) 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 838395746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365586425000).

838395746400 is an abundant number, since it is smaller than the sum of its proper divisors (1892777103600).

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

838395746400 is a wasteful number, since it uses less digits than its factorization.

838395746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280961 (or 280948 counting only the distinct ones).

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

The spelling of 838395746400 in words is "eight hundred thirty-eight billion, three hundred ninety-five million, seven hundred forty-six thousand, four hundred".