349677216 has 384 divisors, whose sum is σ = 1306368000. Its totient is φ = 88584192.

The previous prime is 349677191. The next prime is 349677239. The reversal of 349677216 is 612776943.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1953415 + ... + 1953593.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^349677216 is an apocalyptic number.

349677216 is a gapful number since it is divisible by the number (36) 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 349677216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

349677216 is an abundant number, since it is smaller than the sum of its proper divisors (956690784).

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

349677216 is a wasteful number, since it uses less digits than its factorization.

349677216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 349677216 is about 18699.6581786941. The cubic root of 349677216 is about 704.5131632139.

The spelling of 349677216 in words is "three hundred forty-nine million, six hundred seventy-seven thousand, two hundred sixteen".