352798848 has 256 divisors, whose sum is σ = 1116288000. Its totient is φ = 109486080.

The previous prime is 352798847. The next prime is 352798861. The reversal of 352798848 is 848897253.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (3870720) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 352798794 and 352798803.

It is not an unprimeable number, because it can be changed into a prime (352798847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3963988 + ... + 3964076.

It is an arithmetic number, because the mean of its divisors is an integer number (4360500).

Almost surely, 2^352798848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352798848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558144000).

352798848 is an abundant number, since it is smaller than the sum of its proper divisors (763489152).

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

352798848 is a wasteful number, since it uses less digits than its factorization.

352798848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 352798848 is about 18782.9403448981. The cubic root of 352798848 is about 706.6033945170.

The spelling of 352798848 in words is "three hundred fifty-two million, seven hundred ninety-eight thousand, eight hundred forty-eight".