38846325804000 has 3072 divisors, whose sum is σ = 161676103680000. Its totient is φ = 8067870720000.

The previous prime is 38846325803903. The next prime is 38846325804023. The reversal of 38846325804000 is 40852364883.

38846325804000 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 an unprimeable number.

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 511 ways as a sum of consecutive naturals, for example, 260713595926 + ... + 260713596074.

It is an arithmetic number, because the mean of its divisors is an integer number (52628940000).

Almost surely, 2^{38846325804000} is an apocalyptic number.

38846325804000 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 38846325804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80838051840000).

38846325804000 is an abundant number, since it is smaller than the sum of its proper divisors (122829777876000).

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

38846325804000 is a wasteful number, since it uses less digits than its factorization.

38846325804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 38846325804000 in words is "thirty-eight trillion, eight hundred forty-six billion, three hundred twenty-five million, eight hundred four thousand".