38459840873760 has 768 divisors, whose sum is σ = 143167786675200. Its totient is φ = 9625551667200.

The previous prime is 38459840873749. The next prime is 38459840873803. The reversal of 38459840873760 is 6737804895483.

38459840873760 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 98 + 408 + 73 + 7 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1422791445 + ... + 1422818475.

It is an arithmetic number, because the mean of its divisors is an integer number (186416388900).

Almost surely, 2^{38459840873760} is an apocalyptic number.

38459840873760 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 38459840873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71583893337600).

38459840873760 is an abundant number, since it is smaller than the sum of its proper divisors (104707945801440).

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

38459840873760 is a wasteful number, since it uses less digits than its factorization.

38459840873760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27402 (or 27388 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 38459840873760 in words is "thirty-eight trillion, four hundred fifty-nine billion, eight hundred forty million, eight hundred seventy-three thousand, seven hundred sixty".