352442880 has 160 divisors (see below), whose sum is σ = 1252152000. Its totient is φ = 93966336.

The previous prime is 352442879. The next prime is 352442891. The reversal of 352442880 is 88244253.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66571 + ... + 71669.

It is an arithmetic number, because the mean of its divisors is an integer number (7825950).

Almost surely, 2^352442880 is an apocalyptic number.

352442880 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 352442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626076000).

352442880 is an abundant number, since it is smaller than the sum of its proper divisors (899709120).

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

352442880 is an equidigital number, since it uses as much as digits as its factorization.

352442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 352442880 is about 18773.4621207704. The cubic root of 352442880 is about 706.3656642996.

The spelling of 352442880 in words is "three hundred fifty-two million, four hundred forty-two thousand, eight hundred eighty".