38775614976000 has 3744 divisors, whose sum is σ = 177455442632832. Its totient is φ = 8255648563200.

The previous prime is 38775614975953. The next prime is 38775614976029. The reversal of 38775614976000 is 67941657783.

38775614976000 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 5 + 6 + 14 + 9 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 399748607952 + ... + 399748608048.

It is an arithmetic number, because the mean of its divisors is an integer number (47397287028).

Almost surely, 2^{38775614976000} is an apocalyptic number.

38775614976000 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 38775614976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88727721316416).

38775614976000 is an abundant number, since it is smaller than the sum of its proper divisors (138679827656832).

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

38775614976000 is an frugal number, since it uses more digits than its factorization.

38775614976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 38775614976000 in words is "thirty-eight trillion, seven hundred seventy-five billion, six hundred fourteen million, nine hundred seventy-six thousand".