338434560 has 240 divisors, whose sum is σ = 1206804456. Its totient is φ = 87588864.

The previous prime is 338434543. The next prime is 338434567. The reversal of 338434560 is 65434833.

It can be written as a sum of positive squares in 4 ways, for example, as 330948864 + 7485696 = 18192^2 + 2736^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×338434560² = 229075902804787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338434567) 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, 852282 + ... + 852678.

Almost surely, 2^338434560 is an apocalyptic number.

338434560 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 338434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603402228).

338434560 is an abundant number, since it is smaller than the sum of its proper divisors (868369896).

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

338434560 is a wasteful number, since it uses less digits than its factorization.

338434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 338434560 is about 18396.5909885500. The cubic root of 338434560 is about 696.8803762246.

The spelling of 338434560 in words is "three hundred thirty-eight million, four hundred thirty-four thousand, five hundred sixty".