338916960 has 288 divisors, whose sum is σ = 1254839040. Its totient is φ = 86220288.

The previous prime is 338916959. The next prime is 338916973. The reversal of 338916960 is 69619833.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×338916960² = 229729411551283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894051 + ... + 894429.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^338916960 is an apocalyptic number.

338916960 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 338916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

338916960 is an abundant number, since it is smaller than the sum of its proper divisors (915922080).

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

338916960 is a wasteful number, since it uses less digits than its factorization.

338916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 338916960 is about 18409.6974445535. The cubic root of 338916960 is about 697.2113269539.

The spelling of 338916960 in words is "three hundred thirty-eight million, nine hundred sixteen thousand, nine hundred sixty".