338649507840 has 384 divisors, whose sum is σ = 1241388046080. Its totient is φ = 77205602304.

The previous prime is 338649507817. The next prime is 338649507883. The reversal of 338649507840 is 48705946833.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×338649507840² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93110502 + ... + 93114138.

It is an arithmetic number, because the mean of its divisors is an integer number (3232781370).

Almost surely, 2^338649507840 is an apocalyptic number.

338649507840 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 338649507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620694023040).

338649507840 is an abundant number, since it is smaller than the sum of its proper divisors (902738538240).

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

338649507840 is a wasteful number, since it uses less digits than its factorization.

338649507840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 338649507840 in words is "three hundred thirty-eight billion, six hundred forty-nine million, five hundred seven thousand, eight hundred forty".