38240705775000 has 192 divisors, whose sum is σ = 125783749324800. Its totient is φ = 9660809520000.

The previous prime is 38240705774959. The next prime is 38240705775047. The reversal of 38240705775000 is 57750704283.

38240705775000 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 47 ways as a sum of consecutive naturals, for example, 11992792 + ... + 14842791.

It is an arithmetic number, because the mean of its divisors is an integer number (655123694400).

Almost surely, 2^{38240705775000} is an apocalyptic number.

38240705775000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38240705775000 is an abundant number, since it is smaller than the sum of its proper divisors (87543043549800).

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

38240705775000 is a wasteful number, since it uses less digits than its factorization.

38240705775000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26835636 (or 26835612 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 38240705775000 in words is "thirty-eight trillion, two hundred forty billion, seven hundred five million, seven hundred seventy-five thousand".