349868916 has 96 divisors (see below), whose sum is σ = 962438400. Its totient is φ = 109676160.

The previous prime is 349868903. The next prime is 349868917. The reversal of 349868916 is 619868943.

349868916 is a `hidden beast` number, since 3 + 498 + 68 + 91 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349868917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150370 + ... + 152678.

It is an arithmetic number, because the mean of its divisors is an integer number (10025400).

Almost surely, 2^349868916 is an apocalyptic number.

349868916 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 349868916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481219200).

349868916 is an abundant number, since it is smaller than the sum of its proper divisors (612569484).

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

349868916 is a wasteful number, since it uses less digits than its factorization.

349868916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2398 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 349868916 is about 18704.7832385195. The cubic root of 349868916 is about 704.6418824009.

The spelling of 349868916 in words is "three hundred forty-nine million, eight hundred sixty-eight thousand, nine hundred sixteen".