352816793280 has 2016 divisors, whose sum is σ = 1578468003840. Its totient is φ = 74619740160.

The previous prime is 352816793269. The next prime is 352816793321. The reversal of 352816793280 is 82397618253.

352816793280 is a `hidden beast` number, since 3 + 528 + 1 + 6 + 7 + 9 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3425405709 + ... + 3425405811.

It is an arithmetic number, because the mean of its divisors is an integer number (782970240).

Almost surely, 2^352816793280 is an apocalyptic number.

352816793280 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 352816793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789234001920).

352816793280 is an abundant number, since it is smaller than the sum of its proper divisors (1225651210560).

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

352816793280 is a wasteful number, since it uses less digits than its factorization.

352816793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 352816793280 in words is "three hundred fifty-two billion, eight hundred sixteen million, seven hundred ninety-three thousand, two hundred eighty".