349039560 has 128 divisors (see below), whose sum is σ = 1091180160. Its totient is φ = 89241600.

The previous prime is 349039547. The next prime is 349039573. The reversal of 349039560 is 65930943.

It is an interprime number because it is at equal distance from previous prime (349039547) and next prime (349039573).

It is a super-2 number, since 2×349039560² = 243657228889987200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 299539 + ... + 300701.

It is an arithmetic number, because the mean of its divisors is an integer number (8524845).

Almost surely, 2^349039560 is an apocalyptic number.

349039560 is a gapful number since it is divisible by the number (30) 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 349039560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545590080).

349039560 is an abundant number, since it is smaller than the sum of its proper divisors (742140600).

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

349039560 is a wasteful number, since it uses less digits than its factorization.

349039560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 349039560 is about 18682.6004613919. The cubic root of 349039560 is about 704.0846628983.

The spelling of 349039560 in words is "three hundred forty-nine million, thirty-nine thousand, five hundred sixty".