338676096 has 192 divisors, whose sum is σ = 1020705840. Its totient is φ = 99348480.

The previous prime is 338676077. The next prime is 338676097. The reversal of 338676096 is 690676833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×338676096² = 229402996003602432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338676097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1719070 + ... + 1719266.

Almost surely, 2^338676096 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 338676096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510352920).

338676096 is an abundant number, since it is smaller than the sum of its proper divisors (682029744).

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

338676096 is a wasteful number, since it uses less digits than its factorization.

338676096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 338676096 is about 18403.1545122025. The cubic root of 338676096 is about 697.0461213851.

The spelling of 338676096 in words is "three hundred thirty-eight million, six hundred seventy-six thousand, ninety-six".