349374276 has 144 divisors (see below), whose sum is σ = 992779200. Its totient is φ = 105878016.

The previous prime is 349374271. The next prime is 349374343. The reversal of 349374276 is 672473943.

349374276 is a `hidden beast` number, since 3 + 4 + 9 + 374 + 276 = 666.

Its product of digits (762048) is a multiple of the sum of its prime factors (243).

It is not an unprimeable number, because it can be changed into a prime (349374271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2513415 + ... + 2513553.

It is an arithmetic number, because the mean of its divisors is an integer number (6894300).

Almost surely, 2^349374276 is an apocalyptic number.

349374276 is a gapful number since it is divisible by the number (36) 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 349374276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496389600).

349374276 is an abundant number, since it is smaller than the sum of its proper divisors (643404924).

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

349374276 is a wasteful number, since it uses less digits than its factorization.

349374276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 198 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 349374276 is about 18691.5562754951. The cubic root of 349374276 is about 704.3096546917.

The spelling of 349374276 in words is "three hundred forty-nine million, three hundred seventy-four thousand, two hundred seventy-six".