349776288 has 144 divisors (see below), whose sum is σ = 1023998976. Its totient is φ = 113218560.

The previous prime is 349776227. The next prime is 349776299. The reversal of 349776288 is 882677943.

349776288 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 7 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (4064256) is a multiple of the sum of its prime divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2669983 + ... + 2670113.

It is an arithmetic number, because the mean of its divisors is an integer number (7111104).

Almost surely, 2^349776288 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 349776288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511999488).

349776288 is an abundant number, since it is smaller than the sum of its proper divisors (674222688).

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

349776288 is a wasteful number, since it uses less digits than its factorization.

349776288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 349776288 is about 18702.3070234664. The cubic root of 349776288 is about 704.5796921289.

The spelling of 349776288 in words is "three hundred forty-nine million, seven hundred seventy-six thousand, two hundred eighty-eight".