352385280 has 324 divisors, whose sum is σ = 1327510548. Its totient is φ = 86261760.

The previous prime is 352385279. The next prime is 352385291. The reversal of 352385280 is 82583253.

352385280 is a `hidden beast` number, since 3 + 523 + 8 + 52 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 181926144 + 170459136 = 13488^2 + 13056^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1946790 + ... + 1946970.

Almost surely, 2^352385280 is an apocalyptic number.

352385280 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 352385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663755274).

352385280 is an abundant number, since it is smaller than the sum of its proper divisors (975125268).

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

352385280 is a wasteful number, since it uses less digits than its factorization.

352385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 352385280 is about 18771.9279777012. The cubic root of 352385280 is about 706.3271815825.

The spelling of 352385280 in words is "three hundred fifty-two million, three hundred eighty-five thousand, two hundred eighty".