338948541360 has 640 divisors, whose sum is σ = 1375461964800. Its totient is φ = 75634974720.

The previous prime is 338948541317. The next prime is 338948541383. The reversal of 338948541360 is 63145849833.

338948541360 is a `hidden beast` number, since 3 + 3 + 8 + 94 + 8 + 541 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×338948541360² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 338948541297 and 338948541306.

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, 126330579 + ... + 126333261.

It is an arithmetic number, because the mean of its divisors is an integer number (2149159320).

Almost surely, 2^338948541360 is an apocalyptic number.

338948541360 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 338948541360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687730982400).

338948541360 is an abundant number, since it is smaller than the sum of its proper divisors (1036513423440).

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

338948541360 is a wasteful number, since it uses less digits than its factorization.

338948541360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3126 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 338948541360 in words is "three hundred thirty-eight billion, nine hundred forty-eight million, five hundred forty-one thousand, three hundred sixty".