338247168 has 160 divisors (see below), whose sum is σ = 1041528576. Its totient is φ = 95551488.

The previous prime is 338247157. The next prime is 338247197. The reversal of 338247168 is 861742833.

It is a super-2 number, since 2×338247168² = 228822293320040448, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (193536) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1752480 + ... + 1752672.

Almost surely, 2^338247168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338247168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520764288).

338247168 is an abundant number, since it is smaller than the sum of its proper divisors (703281408).

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

338247168 is a wasteful number, since it uses less digits than its factorization.

338247168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 338247168 is about 18391.4971658101. The cubic root of 338247168 is about 696.7517310516.

The spelling of 338247168 in words is "three hundred thirty-eight million, two hundred forty-seven thousand, one hundred sixty-eight".