349636420 has 48 divisors (see below), whose sum is σ = 850647168. Its totient is φ = 118229760.

The previous prime is 349636379. The next prime is 349636429. The reversal of 349636420 is 24636943.

349636420 = T₅₇₆₀ + T₅₇₆₁ + ... + T₅₇₈₀.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 349636420.

It is not an unprimeable number, because it can be changed into a prime (349636429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6886 + ... + 27325.

It is an arithmetic number, because the mean of its divisors is an integer number (17721816).

Almost surely, 2^349636420 is an apocalyptic number.

It is an amenable number.

349636420 is an abundant number, since it is smaller than the sum of its proper divisors (501010748).

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

349636420 is a wasteful number, since it uses less digits than its factorization.

349636420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34300 (or 34298 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

The square root of 349636420 is about 18698.5673247979. The cubic root of 349636420 is about 704.4857641961.

The spelling of 349636420 in words is "three hundred forty-nine million, six hundred thirty-six thousand, four hundred twenty".