349361840 has 40 divisors (see below), whose sum is σ = 840281040. Its totient is φ = 134925056.

The previous prime is 349361839. The next prime is 349361891. The reversal of 349361840 is 48163943.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 349361794 and 349361803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72974 + ... + 77613.

It is an arithmetic number, because the mean of its divisors is an integer number (21007026).

Almost surely, 2^349361840 is an apocalyptic number.

It is an amenable number.

349361840 is an abundant number, since it is smaller than the sum of its proper divisors (490919200).

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

349361840 is a wasteful number, since it uses less digits than its factorization.

349361840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150629 (or 150623 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 349361840 is about 18691.2236089562. The cubic root of 349361840 is about 704.3012979433.

The spelling of 349361840 in words is "three hundred forty-nine million, three hundred sixty-one thousand, eight hundred forty".