352665120 has 96 divisors (see below), whose sum is σ = 1118577600. Its totient is φ = 93393920.

The previous prime is 352665113. The next prime is 352665121. The reversal of 352665120 is 21566253.

352665120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×352665120² = 248745373729228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (352665121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69055 + ... + 73985.

It is an arithmetic number, because the mean of its divisors is an integer number (11651850).

Almost surely, 2^352665120 is an apocalyptic number.

352665120 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 352665120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559288800).

352665120 is an abundant number, since it is smaller than the sum of its proper divisors (765912480).

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

352665120 is a wasteful number, since it uses less digits than its factorization.

352665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5098 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 352665120 is about 18779.3801814650. The cubic root of 352665120 is about 706.5141041646.

The spelling of 352665120 in words is "three hundred fifty-two million, six hundred sixty-five thousand, one hundred twenty".