352085940 has 60 divisors (see below), whose sum is σ = 1104511716. Its totient is φ = 93889152.

The previous prime is 352085939. The next prime is 352085959. The reversal of 352085940 is 49580253.

It can be written as a sum of positive squares in 2 ways, for example, as 54730404 + 297355536 = 7398^2 + 17244^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 352085895 and 352085904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107049 + ... + 110288.

Almost surely, 2^352085940 is an apocalyptic number.

352085940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352085940 is an abundant number, since it is smaller than the sum of its proper divisors (752425776).

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

352085940 is a wasteful number, since it uses less digits than its factorization.

352085940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217358 (or 217347 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 352085940 is about 18763.9532082128. The cubic root of 352085940 is about 706.1271241576.

The spelling of 352085940 in words is "three hundred fifty-two million, eighty-five thousand, nine hundred forty".