352928378880 has 1456 divisors, whose sum is σ = 1588291778304. Its totient is φ = 73096888320.

The previous prime is 352928378863. The next prime is 352928378893. The reversal of 352928378880 is 88873829253.

352928378880 is a `hidden beast` number, since 3 + 529 + 28 + 3 + 7 + 8 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 111 ways as a sum of consecutive naturals, for example, 1149603687 + ... + 1149603993.

Almost surely, 2^352928378880 is an apocalyptic number.

352928378880 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 352928378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794145889152).

352928378880 is an abundant number, since it is smaller than the sum of its proper divisors (1235363399424).

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

352928378880 is an equidigital number, since it uses as much as digits as its factorization.

352928378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 352928378880 in words is "three hundred fifty-two billion, nine hundred twenty-eight million, three hundred seventy-eight thousand, eight hundred eighty".