349572960 has 288 divisors, whose sum is σ = 1348008480. Its totient is φ = 81715200.

The previous prime is 349572947. The next prime is 349573027. The reversal of 349572960 is 69275943.

It is a happy number.

349572960 is a `hidden beast` number, since 3 + 495 + 72 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 458980 + ... + 459740.

It is an arithmetic number, because the mean of its divisors is an integer number (4680585).

Almost surely, 2^349572960 is an apocalyptic number.

349572960 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 349572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674004240).

349572960 is an abundant number, since it is smaller than the sum of its proper divisors (998435520).

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

349572960 is a wasteful number, since it uses less digits than its factorization.

349572960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 349572960 is about 18696.8703263407. The cubic root of 349572960 is about 704.4431395636.

The spelling of 349572960 in words is "three hundred forty-nine million, five hundred seventy-two thousand, nine hundred sixty".