338411071320 has 512 divisors, whose sum is σ = 1243522990080. Its totient is φ = 72001290240.

The previous prime is 338411071289. The next prime is 338411071331. The reversal of 338411071320 is 23170114833.

It is a super-2 number, since 2×338411071320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 175250755 + ... + 175252685.

It is an arithmetic number, because the mean of its divisors is an integer number (2428755840).

Almost surely, 2^338411071320 is an apocalyptic number.

338411071320 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 338411071320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621761495040).

338411071320 is an abundant number, since it is smaller than the sum of its proper divisors (905111918760).

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

338411071320 is a wasteful number, since it uses less digits than its factorization.

338411071320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 338411071320 in words is "three hundred thirty-eight billion, four hundred eleven million, seventy-one thousand, three hundred twenty".