352820952 has 96 divisors (see below), whose sum is σ = 1055808000. Its totient is φ = 105543360.

The previous prime is 352820933. The next prime is 352820959. The reversal of 352820952 is 259028253.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352820959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59749 + ... + 65387.

It is an arithmetic number, because the mean of its divisors is an integer number (10998000).

Almost surely, 2^352820952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352820952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527904000).

352820952 is an abundant number, since it is smaller than the sum of its proper divisors (702987048).

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

352820952 is a wasteful number, since it uses less digits than its factorization.

352820952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5734 counting only the distinct ones).

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

The square root of 352820952 is about 18783.5287419590. The cubic root of 352820952 is about 706.6181512122.

The spelling of 352820952 in words is "three hundred fifty-two million, eight hundred twenty thousand, nine hundred fifty-two".