38344036110336 has 1040 divisors, whose sum is σ = 130101253894656. Its totient is φ = 11240570880000.

The previous prime is 38344036110313. The next prime is 38344036110353. The reversal of 38344036110336 is 63301163044383.

38344036110336 is a `hidden beast` number, since 3 + 83 + 4 + 403 + 61 + 103 + 3 + 6 = 666.

It is a super-2 number, since 2×38344036110336² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38344036110291 and 38344036110300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13689408136 + ... + 13689410936.

Almost surely, 2^{38344036110336} is an apocalyptic number.

38344036110336 is a gapful number since it is divisible by the number (36) 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 38344036110336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65050626947328).

38344036110336 is an abundant number, since it is smaller than the sum of its proper divisors (91757217784320).

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

38344036110336 is an equidigital number, since it uses as much as digits as its factorization.

38344036110336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2901 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 38344036110336 in words is "thirty-eight trillion, three hundred forty-four billion, thirty-six million, one hundred ten thousand, three hundred thirty-six".