352203840 has 168 divisors, whose sum is σ = 1253505240. Its totient is φ = 90660864.

The previous prime is 352203833. The next prime is 352203871. The reversal of 352203840 is 48302253.

It can be written as a sum of positive squares in 4 ways, for example, as 98247744 + 253956096 = 9912^2 + 15936^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 81412 + ... + 85628.

Almost surely, 2^352203840 is an apocalyptic number.

352203840 is a gapful number since it is divisible by the number (30) 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 352203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626752620).

352203840 is an abundant number, since it is smaller than the sum of its proper divisors (901301400).

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

352203840 is a wasteful number, since it uses less digits than its factorization.

352203840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4256 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 352203840 is about 18767.0946073174. The cubic root of 352203840 is about 706.2059336068.

It can be divided in two parts, 35220 and 3840, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 352203840 in words is "three hundred fifty-two million, two hundred three thousand, eight hundred forty".