349859400 has 288 divisors, whose sum is σ = 1227004800. Its totient is φ = 82368000.

The previous prime is 349859357. The next prime is 349859401. The reversal of 349859400 is 4958943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349859401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4428561 + ... + 4428639.

Almost surely, 2^349859400 is an apocalyptic number.

349859400 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 349859400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613502400).

349859400 is an abundant number, since it is smaller than the sum of its proper divisors (877145400).

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

349859400 is a wasteful number, since it uses less digits than its factorization.

349859400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 349859400 is about 18704.5288633529. The cubic root of 349859400 is about 704.6354938816.

The spelling of 349859400 in words is "three hundred forty-nine million, eight hundred fifty-nine thousand, four hundred".