349164816 has 320 divisors, whose sum is σ = 1246586880. Its totient is φ = 81768960.

The previous prime is 349164797. The next prime is 349164841. The reversal of 349164816 is 618461943.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 8120091 + ... + 8120133.

It is an arithmetic number, because the mean of its divisors is an integer number (3895584).

Almost surely, 2^349164816 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 349164816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623293440).

349164816 is an abundant number, since it is smaller than the sum of its proper divisors (897422064).

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

349164816 is a wasteful number, since it uses less digits than its factorization.

349164816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 349164816 is about 18685.9523706982. The cubic root of 349164816 is about 704.1688752067.

The spelling of 349164816 in words is "three hundred forty-nine million, one hundred sixty-four thousand, eight hundred sixteen".