338530752 has 280 divisors, whose sum is σ = 1209690240. Its totient is φ = 91445760.

The previous prime is 338530739. The next prime is 338530763. The reversal of 338530752 is 257035833.

It is a super-2 number, since 2×338530752² = 229206140099371008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 689227 + ... + 689717.

Almost surely, 2^338530752 is an apocalyptic number.

338530752 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 338530752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604845120).

338530752 is an abundant number, since it is smaller than the sum of its proper divisors (871159488).

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

338530752 is a wasteful number, since it uses less digits than its factorization.

338530752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 338530752 is about 18399.2052002254. The cubic root of 338530752 is about 696.9463938787.

The spelling of 338530752 in words is "three hundred thirty-eight million, five hundred thirty thousand, seven hundred fifty-two".