352300032 has 264 divisors, whose sum is σ = 1198985216. Its totient is φ = 97542144.

The previous prime is 352300007. The next prime is 352300079. The reversal of 352300032 is 230003253.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 352299978 and 352300014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2773953 + ... + 2774079.

Almost surely, 2^352300032 is an apocalyptic number.

352300032 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 352300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599492608).

352300032 is an abundant number, since it is smaller than the sum of its proper divisors (846685184).

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

352300032 is a wasteful number, since it uses less digits than its factorization.

352300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 352300032 is about 18769.6572158364. The cubic root of 352300032 is about 706.2702194645.

Adding to 352300032 its reverse (230003253), we get a palindrome (582303285).

The spelling of 352300032 in words is "three hundred fifty-two million, three hundred thousand, thirty-two".