349916616 has 96 divisors (see below), whose sum is σ = 1140110400. Its totient is φ = 94711680.

The previous prime is 349916599. The next prime is 349916617. The reversal of 349916616 is 616619943.

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

It is not an unprimeable number, because it can be changed into a prime (349916617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8695 + ... + 27846.

It is an arithmetic number, because the mean of its divisors is an integer number (11876150).

Almost surely, 2^349916616 is an apocalyptic number.

349916616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349916616 is an abundant number, since it is smaller than the sum of its proper divisors (790193784).

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

349916616 is a wasteful number, since it uses less digits than its factorization.

349916616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36579 (or 36572 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 349916616 is about 18706.0582699830. The cubic root of 349916616 is about 704.6739038132.

The spelling of 349916616 in words is "three hundred forty-nine million, nine hundred sixteen thousand, six hundred sixteen".