349385000 has 40 divisors (see below), whose sum is σ = 818620770. Its totient is φ = 139752000.

The previous prime is 349384999. The next prime is 349385009. The reversal of 349385000 is 583943.

It can be written as a sum of positive squares in 5 ways, for example, as 16176484 + 333208516 = 4022^2 + 18254^2 .

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

It is not an unprimeable number, because it can be changed into a prime (349385009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 29939 + ... + 39938.

Almost surely, 2^349385000 is an apocalyptic number.

It is an amenable number.

349385000 is an abundant number, since it is smaller than the sum of its proper divisors (469235770).

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

349385000 is an equidigital number, since it uses as much as digits as its factorization.

349385000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69903 (or 69884 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 349385000 is about 18691.8431407927. The cubic root of 349385000 is about 704.3168608504.

The spelling of 349385000 in words is "three hundred forty-nine million, three hundred eighty-five thousand".