349658540 has 72 divisors (see below), whose sum is σ = 922449696. Its totient is φ = 108979200.

The previous prime is 349658509. The next prime is 349658549. The reversal of 349658540 is 45856943.

349658540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×349658540² = 244522189189863200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 349658491 and 349658500.

It is not an unprimeable number, because it can be changed into a prime (349658549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6620 + ... + 27260.

Almost surely, 2^349658540 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 349658540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461224848).

349658540 is an abundant number, since it is smaller than the sum of its proper divisors (572791156).

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

349658540 is a wasteful number, since it uses less digits than its factorization.

349658540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20679 (or 20666 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 349658540 is about 18699.1588046094. The cubic root of 349658540 is about 704.5006204826.

The spelling of 349658540 in words is "three hundred forty-nine million, six hundred fifty-eight thousand, five hundred forty".