349142040 has 192 divisors, whose sum is σ = 1243045440. Its totient is φ = 84464640.

The previous prime is 349142029. The next prime is 349142041. The reversal of 349142040 is 40241943.

It is a junction number, because it is equal to n+sod(n) for n = 349141995 and 349142013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349142041) 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, 284869 + ... + 286091.

It is an arithmetic number, because the mean of its divisors is an integer number (6474195).

Almost surely, 2^349142040 is an apocalyptic number.

349142040 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 349142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621522720).

349142040 is an abundant number, since it is smaller than the sum of its proper divisors (893903400).

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

349142040 is a wasteful number, since it uses less digits than its factorization.

349142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 349142040 is about 18685.3429189833. The cubic root of 349142040 is about 704.1535639093.

Adding to 349142040 its reverse (40241943), we get a palindrome (389383983).

The spelling of 349142040 in words is "three hundred forty-nine million, one hundred forty-two thousand, forty".