338498334720 has 1872 divisors, whose sum is σ = 1557759137760. Its totient is φ = 69115576320.

The previous prime is 338498334703. The next prime is 338498334721. The reversal of 338498334720 is 27433894833.

338498334720 is a `hidden beast` number, since 3 + 3 + 84 + 98 + 3 + 3 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×338498334720² (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 not an unprimeable number, because it can be changed into a prime (338498334721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10919301105 + ... + 10919301135.

Almost surely, 2^338498334720 is an apocalyptic number.

338498334720 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 338498334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778879568880).

338498334720 is an abundant number, since it is smaller than the sum of its proper divisors (1219260803040).

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

338498334720 is a wasteful number, since it uses less digits than its factorization.

338498334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 338498334720 in words is "three hundred thirty-eight billion, four hundred ninety-eight million, three hundred thirty-four thousand, seven hundred twenty".