352345400 has 96 divisors (see below), whose sum is σ = 946345680. Its totient is φ = 120576000.

The previous prime is 352345379. The next prime is 352345403. The reversal of 352345400 is 4543253.

It is a self number, because there is not a number n which added to its sum of digits gives 352345400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352345403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32690 + ... + 42110.

Almost surely, 2^352345400 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 352345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473172840).

352345400 is an abundant number, since it is smaller than the sum of its proper divisors (594000280).

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

352345400 is a wasteful number, since it uses less digits than its factorization.

352345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9465 (or 9456 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 352345400 is about 18770.8657232425. The cubic root of 352345400 is about 706.3005351888.

Adding to 352345400 its reverse (4543253), we get a palindrome (356888653).

The spelling of 352345400 in words is "three hundred fifty-two million, three hundred forty-five thousand, four hundred".