349462872 has 96 divisors (see below), whose sum is σ = 1039222080. Its totient is φ = 105209280.

The previous prime is 349462871. The next prime is 349462879. The reversal of 349462872 is 278264943.

349462872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349462871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127743 + ... + 130449.

It is an arithmetic number, because the mean of its divisors is an integer number (10825230).

Almost surely, 2^349462872 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 349462872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519611040).

349462872 is an abundant number, since it is smaller than the sum of its proper divisors (689759208).

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

349462872 is a wasteful number, since it uses less digits than its factorization.

349462872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2886 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 349462872 is about 18693.9260723905. The cubic root of 349462872 is about 704.3691837304.

It can be divided in two parts, 3494 and 62872, that added together give a palindrome (66366).

The spelling of 349462872 in words is "three hundred forty-nine million, four hundred sixty-two thousand, eight hundred seventy-two".