352745280 has 280 divisors, whose sum is σ = 1298204160. Its totient is φ = 90823680.

The previous prime is 352745251. The next prime is 352745321. The reversal of 352745280 is 82547253.

352745280 is a `hidden beast` number, since 3 + 527 + 4 + 52 + 80 = 666.

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 39 ways as a sum of consecutive naturals, for example, 803301 + ... + 803739.

Almost surely, 2^352745280 is an apocalyptic number.

352745280 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 352745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649102080).

352745280 is an abundant number, since it is smaller than the sum of its proper divisors (945458880).

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

352745280 is a wasteful number, since it uses less digits than its factorization.

352745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 352745280 is about 18781.5143159437. The cubic root of 352745280 is about 706.5676298060.

The spelling of 352745280 in words is "three hundred fifty-two million, seven hundred forty-five thousand, two hundred eighty".