338998277376 has 324 divisors, whose sum is σ = 1081692311700. Its totient is φ = 102024806400.

The previous prime is 338998277369. The next prime is 338998277383. The reversal of 338998277376 is 673772899833.

338998277376 is a `hidden beast` number, since 3 + 389 + 98 + 27 + 73 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (338998277369) and next prime (338998277383).

It can be written as a sum of positive squares in 2 ways, for example, as 78310425600 + 260687851776 = 279840^2 + 510576^2 .

It is a super-2 number, since 2×338998277376² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41534736 + ... + 41542896.

Almost surely, 2^338998277376 is an apocalyptic number.

338998277376 is a gapful number since it is divisible by the number (36) 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 338998277376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540846155850).

338998277376 is an abundant number, since it is smaller than the sum of its proper divisors (742694034324).

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

338998277376 is a wasteful number, since it uses less digits than its factorization.

338998277376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354 (or 8326 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 338998277376 in words is "three hundred thirty-eight billion, nine hundred ninety-eight million, two hundred seventy-seven thousand, three hundred seventy-six".