352440036 has 108 divisors (see below), whose sum is σ = 983792628. Its totient is φ = 106299648.

The previous prime is 352440029. The next prime is 352440071. The reversal of 352440036 is 630044253.

352440036 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1102500 + 351337536 = 1050^2 + 18744^2 .

It is a super-3 number, since 3×352440036³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 352439991 and 352440009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 321906 + ... + 322998.

It is an arithmetic number, because the mean of its divisors is an integer number (9109191).

Almost surely, 2^352440036 is an apocalyptic number.

352440036 is a gapful number since it is divisible by the number (36) 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 352440036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491896314).

352440036 is an abundant number, since it is smaller than the sum of its proper divisors (631352592).

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

352440036 is a wasteful number, since it uses less digits than its factorization.

352440036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 352440036 is about 18773.3863753986. The cubic root of 352440036 is about 706.3637643139.

Adding to 352440036 its reverse (630044253), we get a palindrome (982484289).

The spelling of 352440036 in words is "three hundred fifty-two million, four hundred forty thousand, thirty-six".