338852358936 has 1152 divisors, whose sum is σ = 1253371392000. Its totient is φ = 85593231360.

The previous prime is 338852358877. The next prime is 338852358937. The reversal of 338852358936 is 639853258833.

It is a super-2 number, since 2×338852358936² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338852358937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3493323240 + ... + 3493323336.

It is an arithmetic number, because the mean of its divisors is an integer number (1087996000).

Almost surely, 2^338852358936 is an apocalyptic number.

338852358936 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 338852358936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626685696000).

338852358936 is an abundant number, since it is smaller than the sum of its proper divisors (914519033064).

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

338852358936 is a wasteful number, since it uses less digits than its factorization.

338852358936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 153 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 338852358936 in words is "three hundred thirty-eight billion, eight hundred fifty-two million, three hundred fifty-eight thousand, nine hundred thirty-six".