349279840 has 288 divisors, whose sum is σ = 1085918400. Its totient is φ = 105025536.

The previous prime is 349279837. The next prime is 349279849. The reversal of 349279840 is 48972943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349279849) 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, 2344086 + ... + 2344234.

It is an arithmetic number, because the mean of its divisors is an integer number (3770550).

Almost surely, 2^349279840 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 349279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542959200).

349279840 is an abundant number, since it is smaller than the sum of its proper divisors (736638560).

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

349279840 is a wasteful number, since it uses less digits than its factorization.

349279840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 349279840 is about 18689.0299373724. The cubic root of 349279840 is about 704.2461905838.

The spelling of 349279840 in words is "three hundred forty-nine million, two hundred seventy-nine thousand, eight hundred forty".