349495820 has 48 divisors (see below), whose sum is σ = 761261760. Its totient is φ = 134620416.

The previous prime is 349495801. The next prime is 349495831. The reversal of 349495820 is 28594943.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355049 + ... + 356031.

It is an arithmetic number, because the mean of its divisors is an integer number (15859620).

Almost surely, 2^349495820 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 349495820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380630880).

349495820 is an abundant number, since it is smaller than the sum of its proper divisors (411765940).

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

349495820 is a wasteful number, since it uses less digits than its factorization.

349495820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 349495820 is about 18694.8073004244. The cubic root of 349495820 is about 704.3913194406.

The spelling of 349495820 in words is "three hundred forty-nine million, four hundred ninety-five thousand, eight hundred twenty".