338892876 has 96 divisors (see below), whose sum is σ = 1013268480. Its totient is φ = 95945472.

The previous prime is 338892871. The next prime is 338892887. The reversal of 338892876 is 678298833.

It is a super-3 number, since 3×338892876³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (338892871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83445 + ... + 87411.

It is an arithmetic number, because the mean of its divisors is an integer number (10554880).

Almost surely, 2^338892876 is an apocalyptic number.

338892876 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 338892876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506634240).

338892876 is an abundant number, since it is smaller than the sum of its proper divisors (674375604).

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

338892876 is a wasteful number, since it uses less digits than its factorization.

338892876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 4092 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 338892876 is about 18409.0433211506. The cubic root of 338892876 is about 697.1948115658.

The spelling of 338892876 in words is "three hundred thirty-eight million, eight hundred ninety-two thousand, eight hundred seventy-six".