352223760 has 240 divisors, whose sum is σ = 1293613632. Its totient is φ = 79027200.

The previous prime is 352223749. The next prime is 352223801. The reversal of 352223760 is 67322253.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717115 + ... + 717605.

Almost surely, 2^352223760 is an apocalyptic number.

352223760 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 352223760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646806816).

352223760 is an abundant number, since it is smaller than the sum of its proper divisors (941389872).

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

352223760 is a wasteful number, since it uses less digits than its factorization.

352223760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 352223760 is about 18767.6253159530. The cubic root of 352223760 is about 706.2192472578.

The spelling of 352223760 in words is "three hundred fifty-two million, two hundred twenty-three thousand, seven hundred sixty".