338193920 has 160 divisors (see below), whose sum is σ = 905968800. Its totient is φ = 120324096.

The previous prime is 338193917. The next prime is 338193967. The reversal of 338193920 is 29391833.

338193920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×338193920² = 228750255049932800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 826676 + ... + 827084.

It is an arithmetic number, because the mean of its divisors is an integer number (5662305).

Almost surely, 2^338193920 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 338193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452984400).

338193920 is an abundant number, since it is smaller than the sum of its proper divisors (567774880).

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

338193920 is a wasteful number, since it uses less digits than its factorization.

338193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 338193920 is about 18390.0494833483. The cubic root of 338193920 is about 696.7151674706.

The spelling of 338193920 in words is "three hundred thirty-eight million, one hundred ninety-three thousand, nine hundred twenty".