338997960 has 160 divisors (see below), whose sum is σ = 1302269760. Its totient is φ = 77480064.

The previous prime is 338997947. The next prime is 338997961. The reversal of 338997960 is 69799833.

It is a super-2 number, since 2×338997960² = 229839233768323200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 338997897 and 338997906.

It is not an unprimeable number, because it can be changed into a prime (338997961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15207 + ... + 30153.

It is an arithmetic number, because the mean of its divisors is an integer number (8139186).

Almost surely, 2^338997960 is an apocalyptic number.

338997960 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 338997960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651134880).

338997960 is an abundant number, since it is smaller than the sum of its proper divisors (963271800).

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

338997960 is a wasteful number, since it uses less digits than its factorization.

338997960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14977 (or 14964 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 338997960 is about 18411.8972406431. The cubic root of 338997960 is about 697.2668662410.

The spelling of 338997960 in words is "three hundred thirty-eight million, nine hundred ninety-seven thousand, nine hundred sixty".