338795520 has 352 divisors, whose sum is σ = 1301695488. Its totient is φ = 73531392.

The previous prime is 338795519. The next prime is 338795521. The reversal of 338795520 is 25597833.

It is an interprime number because it is at equal distance from previous prime (338795519) and next prime (338795521).

It is a super-2 number, since 2×338795520² = 229564808744140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338795521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2472892 + ... + 2473028.

Almost surely, 2^338795520 is an apocalyptic number.

338795520 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 338795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650847744).

338795520 is an abundant number, since it is smaller than the sum of its proper divisors (962899968).

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

338795520 is a wasteful number, since it uses less digits than its factorization.

338795520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 338795520 is about 18406.3988873435. The cubic root of 338795520 is about 697.1280425820.

The spelling of 338795520 in words is "three hundred thirty-eight million, seven hundred ninety-five thousand, five hundred twenty".