38140135701336 has 192 divisors, whose sum is σ = 109976348401920. Its totient is φ = 12378281535360.

The previous prime is 38140135701319. The next prime is 38140135701347. The reversal of 38140135701336 is 63310753104183.

38140135701336 is a `hidden beast` number, since 3 + 8 + 1 + 40 + 1 + 3 + 570 + 1 + 3 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38140135701291 and 38140135701300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12084301 + ... + 14910083.

It is an arithmetic number, because the mean of its divisors is an integer number (572793481260).

Almost surely, 2^{38140135701336} is an apocalyptic number.

38140135701336 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 38140135701336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54988174200960).

38140135701336 is an abundant number, since it is smaller than the sum of its proper divisors (71836212700584).

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

38140135701336 is a wasteful number, since it uses less digits than its factorization.

38140135701336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825988 (or 2825972 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 38140135701336 in words is "thirty-eight trillion, one hundred forty billion, one hundred thirty-five million, seven hundred one thousand, three hundred thirty-six".