352145760 has 96 divisors (see below), whose sum is σ = 1122750720. Its totient is φ = 92763648.

The previous prime is 352145747. The next prime is 352145779. The reversal of 352145760 is 67541253.

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

It is a congruent number.

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, 35421 + ... + 44259.

It is an arithmetic number, because the mean of its divisors is an integer number (11695320).

Almost surely, 2^352145760 is an apocalyptic number.

352145760 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 352145760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561375360).

352145760 is an abundant number, since it is smaller than the sum of its proper divisors (770604960).

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

352145760 is a wasteful number, since it uses less digits than its factorization.

352145760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8940 (or 8932 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 352145760 is about 18765.5471542932. The cubic root of 352145760 is about 706.1671126261.

The spelling of 352145760 in words is "three hundred fifty-two million, one hundred forty-five thousand, seven hundred sixty".