352705489920 has 1056 divisors, whose sum is σ = 1493186213376. Its totient is φ = 75143577600.

The previous prime is 352705489907. The next prime is 352705489943. The reversal of 352705489920 is 29984507253.

352705489920 is a `hidden beast` number, since 3 + 5 + 2 + 7 + 0 + 548 + 9 + 92 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 718340875 + ... + 718341365.

It is an arithmetic number, because the mean of its divisors is an integer number (1414002096).

Almost surely, 2^352705489920 is an apocalyptic number.

352705489920 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 352705489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746593106688).

352705489920 is an abundant number, since it is smaller than the sum of its proper divisors (1140480723456).

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

352705489920 is a wasteful number, since it uses less digits than its factorization.

352705489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 352705489920 in words is "three hundred fifty-two billion, seven hundred five million, four hundred eighty-nine thousand, nine hundred twenty".