338698560 has 224 divisors, whose sum is σ = 1170432000. Its totient is φ = 82667520.

The previous prime is 338698553. The next prime is 338698561. The reversal of 338698560 is 65896833.

It is a super-2 number, since 2×338698560² = 229433429092147200, which contains 22 as substring.

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 (338698561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565141 + ... + 565739.

Almost surely, 2^338698560 is an apocalyptic number.

338698560 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 338698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585216000).

338698560 is an abundant number, since it is smaller than the sum of its proper divisors (831733440).

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

338698560 is a wasteful number, since it uses less digits than its factorization.

338698560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 338698560 is about 18403.7648322293. The cubic root of 338698560 is about 697.0615324697.

The spelling of 338698560 in words is "three hundred thirty-eight million, six hundred ninety-eight thousand, five hundred sixty".