349954000 has 80 divisors (see below), whose sum is σ = 923173056. Its totient is φ = 127248000.

The previous prime is 349953997. The next prime is 349954001. The reversal of 349954000 is 459943.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349954001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14047 + ... + 29953.

Almost surely, 2^349954000 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 349954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461586528).

349954000 is an abundant number, since it is smaller than the sum of its proper divisors (573219056).

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

349954000 is a wasteful number, since it uses less digits than its factorization.

349954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15941 (or 15925 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 349954000 is about 18707.0574917596. The cubic root of 349954000 is about 704.6989979737.

The spelling of 349954000 in words is "three hundred forty-nine million, nine hundred fifty-four thousand".