338203752 has 96 divisors (see below), whose sum is σ = 885759840. Its totient is φ = 107584000.

The previous prime is 338203751. The next prime is 338203777. The reversal of 338203752 is 257302833.

It is a super-2 number, since 2×338203752² = 228763555733755008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338203751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3348502 + ... + 3348602.

It is an arithmetic number, because the mean of its divisors is an integer number (9226665).

Almost surely, 2^338203752 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 338203752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442879920).

338203752 is an abundant number, since it is smaller than the sum of its proper divisors (547556088).

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

338203752 is a wasteful number, since it uses less digits than its factorization.

338203752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 338203752 is about 18390.3167998814. The cubic root of 338203752 is about 696.7219190577.

The spelling of 338203752 in words is "three hundred thirty-eight million, two hundred three thousand, seven hundred fifty-two".