338830128000 has 2560 divisors, whose sum is σ = 1649641593600. Its totient is φ = 67284172800.

The previous prime is 338830127953. The next prime is 338830128011. The reversal of 338830128000 is 821038833.

It is a super-2 number, since 2×338830128000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19931183992 + ... + 19931184008.

Almost surely, 2^338830128000 is an apocalyptic number.

338830128000 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 338830128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824820796800).

338830128000 is an abundant number, since it is smaller than the sum of its proper divisors (1310811465600).

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

338830128000 is an equidigital number, since it uses as much as digits as its factorization.

338830128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 338830128000 in words is "three hundred thirty-eight billion, eight hundred thirty million, one hundred twenty-eight thousand".