349077312 has 42 divisors (see below), whose sum is σ = 1000568738. Its totient is φ = 116358912.

The previous prime is 349077301. The next prime is 349077331. The reversal of 349077312 is 213770943.

It can be written as a sum of positive squares in only one way, i.e., 303595776 + 45481536 = 17424^2 + 6744^2 .

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 302443 + ... + 303594.

Almost surely, 2^349077312 is an apocalyptic number.

349077312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349077312 is an abundant number, since it is smaller than the sum of its proper divisors (651491426).

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

349077312 is a wasteful number, since it uses less digits than its factorization.

349077312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606055 (or 606042 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 349077312 is about 18683.6107859268. The cubic root of 349077312 is about 704.1100465023.

The spelling of 349077312 in words is "three hundred forty-nine million, seventy-seven thousand, three hundred twelve".