38340279065088 has 2560 divisors, whose sum is σ = 158671444377600. Its totient is φ = 8818207948800.

The previous prime is 38340279065087. The next prime is 38340279065141. The reversal of 38340279065088 is 88056097204383.

38340279065088 is a `hidden beast` number, since 3 + 8 + 3 + 402 + 7 + 90 + 65 + 0 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (38340279065087) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 59627183295 + ... + 59627183937.

It is an arithmetic number, because the mean of its divisors is an integer number (61981032960).

Almost surely, 2^{38340279065088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38340279065088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79335722188800).

38340279065088 is an abundant number, since it is smaller than the sum of its proper divisors (120331165312512).

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

38340279065088 is a wasteful number, since it uses less digits than its factorization.

38340279065088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 38340279065088 in words is "thirty-eight trillion, three hundred forty billion, two hundred seventy-nine million, sixty-five thousand, eighty-eight".