338994960 has 160 divisors (see below), whose sum is σ = 1171532160. Its totient is φ = 80584704.

The previous prime is 338994959. The next prime is 338994983. The reversal of 338994960 is 69499833.

It is a super-2 number, since 2×338994960² = 229835165810803200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75334 + ... + 79706.

It is an arithmetic number, because the mean of its divisors is an integer number (7322076).

Almost surely, 2^338994960 is an apocalyptic number.

338994960 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 338994960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585766080).

338994960 is an abundant number, since it is smaller than the sum of its proper divisors (832537200).

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

338994960 is a wasteful number, since it uses less digits than its factorization.

338994960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4425 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 51.

The square root of 338994960 is about 18411.8157714007. The cubic root of 338994960 is about 697.2648093881.

The spelling of 338994960 in words is "three hundred thirty-eight million, nine hundred ninety-four thousand, nine hundred sixty".