38769768240000 has 1920 divisors, whose sum is σ = 156927767040000. Its totient is φ = 8441911296000.

The previous prime is 38769768239959. The next prime is 38769768240083. The reversal of 38769768240000 is 4286796783.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 26942159281 + ... + 26942160719.

It is an arithmetic number, because the mean of its divisors is an integer number (81733212000).

Almost surely, 2^{38769768240000} is an apocalyptic number.

38769768240000 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 38769768240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78463883520000).

38769768240000 is an abundant number, since it is smaller than the sum of its proper divisors (118157998800000).

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

38769768240000 is a wasteful number, since it uses less digits than its factorization.

38769768240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 38769768240000 in words is "thirty-eight trillion, seven hundred sixty-nine billion, seven hundred sixty-eight million, two hundred forty thousand".