338427372960 has 144 divisors (see below), whose sum is σ = 1155989507400. Its totient is φ = 90160865280.

The previous prime is 338427372937. The next prime is 338427372979. The reversal of 338427372960 is 69273724833.

338427372960 is a `hidden beast` number, since 3 + 3 + 84 + 273 + 7 + 296 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 314438319504 + 23989053456 = 560748^2 + 154884^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×338427372960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338427372897 and 338427372906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1398540 + ... + 1622580.

Almost surely, 2^338427372960 is an apocalyptic number.

338427372960 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 338427372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577994753700).

338427372960 is an abundant number, since it is smaller than the sum of its proper divisors (817562134440).

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

338427372960 is a wasteful number, since it uses less digits than its factorization.

338427372960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225111 (or 225100 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 338427372960 in words is "three hundred thirty-eight billion, four hundred twenty-seven million, three hundred seventy-two thousand, nine hundred sixty".