338949973440 has 224 divisors, whose sum is σ = 1287720624960. Its totient is φ = 83433811968.

The previous prime is 338949973429. The next prime is 338949973457. The reversal of 338949973440 is 44379949833.

338949973440 is a `hidden beast` number, since 3 + 3 + 89 + 49 + 9 + 73 + 440 = 666.

It is a super-2 number, since 2×338949973440² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 1396539 + ... + 1621178.

It is an arithmetic number, because the mean of its divisors is an integer number (5748752790).

Almost surely, 2^338949973440 is an apocalyptic number.

338949973440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338949973440 is an abundant number, since it is smaller than the sum of its proper divisors (948770651520).

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

338949973440 is a wasteful number, since it uses less digits than its factorization.

338949973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017756 (or 3017740 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 338949973440 in words is "three hundred thirty-eight billion, nine hundred forty-nine million, nine hundred seventy-three thousand, four hundred forty".