338762112 has 128 divisors (see below), whose sum is σ = 982464000. Its totient is φ = 102795264.

The previous prime is 338762089. The next prime is 338762119. The reversal of 338762112 is 211267833.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×338762112² = 229519537053401088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338762119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393939 + ... + 394797.

It is an arithmetic number, because the mean of its divisors is an integer number (7675500).

Almost surely, 2^338762112 is an apocalyptic number.

338762112 is a gapful number since it is divisible by the number (32) 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 338762112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491232000).

338762112 is an abundant number, since it is smaller than the sum of its proper divisors (643701888).

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

338762112 is a wasteful number, since it uses less digits than its factorization.

338762112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 956 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 338762112 is about 18405.4913544844. The cubic root of 338762112 is about 697.1051276595.

The spelling of 338762112 in words is "three hundred thirty-eight million, seven hundred sixty-two thousand, one hundred twelve".