352123200 has 840 divisors, whose sum is σ = 1600626720. Its totient is φ = 74649600.

The previous prime is 352123157. The next prime is 352123223. The reversal of 352123200 is 2321253.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18532791 + ... + 18532809.

It is an arithmetic number, because the mean of its divisors is an integer number (1905508).

Almost surely, 2^352123200 is an apocalyptic number.

352123200 is a gapful number since it is divisible by the number (30) 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 352123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800313360).

352123200 is an abundant number, since it is smaller than the sum of its proper divisors (1248503520).

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

352123200 is a wasteful number, since it uses less digits than its factorization.

352123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 352123200 is about 18764.9460430879. The cubic root of 352123200 is about 706.1520322512.

Adding to 352123200 its reverse (2321253), we get a palindrome (354444453).

The spelling of 352123200 in words is "three hundred fifty-two million, one hundred twenty-three thousand, two hundred".