368338752 has 140 divisors (see below), whose sum is σ = 1119147876. Its totient is φ = 119715840.

The previous prime is 368338717. The next prime is 368338753. The reversal of 368338752 is 257833863.

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 291180096 = 8784^2 + 17064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 368338698 and 368338707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368338753) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 211678 + ... + 213410.

Almost surely, 2^368338752 is an apocalyptic number.

368338752 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 368338752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559573938).

368338752 is an abundant number, since it is smaller than the sum of its proper divisors (750809124).

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

368338752 is a wasteful number, since it uses less digits than its factorization.

368338752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1779 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 368338752 is about 19192.1533966358. The cubic root of 368338752 is about 716.8293916652.

The spelling of 368338752 in words is "three hundred sixty-eight million, three hundred thirty-eight thousand, seven hundred fifty-two".