338958720 has 192 divisors, whose sum is σ = 1186239600. Its totient is φ = 89174016.

The previous prime is 338958713. The next prime is 338958721. The reversal of 338958720 is 27859833.

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

It is a super-2 number, since 2×338958720² = 229786027728076800, 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 not an unprimeable number, because it can be changed into a prime (338958721) 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, 477726 + ... + 478434.

Almost surely, 2^338958720 is an apocalyptic number.

338958720 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 338958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593119800).

338958720 is an abundant number, since it is smaller than the sum of its proper divisors (847280880).

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

338958720 is a wasteful number, since it uses less digits than its factorization.

338958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 338958720 is about 18410.8315944718. The cubic root of 338958720 is about 697.2399616468.

The spelling of 338958720 in words is "three hundred thirty-eight million, nine hundred fifty-eight thousand, seven hundred twenty".