338193723420 has 192 divisors, whose sum is σ = 1204632898560. Its totient is φ = 77162160384.

The previous prime is 338193723401. The next prime is 338193723433. The reversal of 338193723420 is 24327391833.

338193723420 is a `hidden beast` number, since 3 + 38 + 193 + 7 + 2 + 3 + 420 = 666.

It is a super-2 number, since 2×338193723420² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2025147 + ... + 2185773.

It is an arithmetic number, because the mean of its divisors is an integer number (6274129680).

Almost surely, 2^338193723420 is an apocalyptic number.

338193723420 is a gapful number since it is divisible by the number (30) 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 338193723420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602316449280).

338193723420 is an abundant number, since it is smaller than the sum of its proper divisors (866439175140).

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

338193723420 is a wasteful number, since it uses less digits than its factorization.

338193723420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161209 (or 161201 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 338193723420 in words is "three hundred thirty-eight billion, one hundred ninety-three million, seven hundred twenty-three thousand, four hundred twenty".