338989443408 has 720 divisors, whose sum is σ = 1241095564800. Its totient is φ = 84446208000.

The previous prime is 338989443391. The next prime is 338989443409. The reversal of 338989443408 is 804344989833.

338989443408 is a `hidden beast` number, since 33 + 89 + 8 + 94 + 434 + 0 + 8 = 666.

It is a super-2 number, since 2×338989443408² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338989443409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 845360008 + ... + 845360408.

It is an arithmetic number, because the mean of its divisors is an integer number (1723743840).

Almost surely, 2^338989443408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338989443408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620547782400).

338989443408 is an abundant number, since it is smaller than the sum of its proper divisors (902106121392).

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

338989443408 is a wasteful number, since it uses less digits than its factorization.

338989443408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 338989443408 in words is "three hundred thirty-eight billion, nine hundred eighty-nine million, four hundred forty-three thousand, four hundred eight".