38027360697984 has 1792 divisors, whose sum is σ = 143843696640000. Its totient is φ = 9758757076992.

The previous prime is 38027360697971. The next prime is 38027360698009. The reversal of 38027360697984 is 48979606372083.

38027360697984 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 7 + 3 + 606 + 9 + 7 + 9 + 8 + 4 = 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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 36251058292 + ... + 36251059340.

It is an arithmetic number, because the mean of its divisors is an integer number (80269920000).

Almost surely, 2^{38027360697984} 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 38027360697984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71921848320000).

38027360697984 is an abundant number, since it is smaller than the sum of its proper divisors (105816335942016).

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

38027360697984 is a wasteful number, since it uses less digits than its factorization.

38027360697984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 38027360697984 in words is "thirty-eight trillion, twenty-seven billion, three hundred sixty million, six hundred ninety-seven thousand, nine hundred eighty-four".