352220832 has 192 divisors, whose sum is σ = 1076181120. Its totient is φ = 111974400.

The previous prime is 352220767. The next prime is 352220833. The reversal of 352220832 is 238022253.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 352220796 and 352220805.

It is not an unprimeable number, because it can be changed into a prime (352220833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2160783 + ... + 2160945.

It is an arithmetic number, because the mean of its divisors is an integer number (5605110).

Almost surely, 2^352220832 is an apocalyptic number.

352220832 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 352220832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538090560).

352220832 is an abundant number, since it is smaller than the sum of its proper divisors (723960288).

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

352220832 is a wasteful number, since it uses less digits than its factorization.

352220832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

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

The square root of 352220832 is about 18767.5473091185. The cubic root of 352220832 is about 706.2172903430.

The spelling of 352220832 in words is "three hundred fifty-two million, two hundred twenty thousand, eight hundred thirty-two".