349503306516 has 384 divisors, whose sum is σ = 1141909171200. Its totient is φ = 91122527232.

The previous prime is 349503306499. The next prime is 349503306517. The reversal of 349503306516 is 615603305943.

349503306516 is a `hidden beast` number, since 3 + 49 + 503 + 30 + 65 + 16 = 666.

It is a super-2 number, since 2×349503306516² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349503306517) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70847586 + ... + 70852518.

It is an arithmetic number, because the mean of its divisors is an integer number (2973721800).

Almost surely, 2^349503306516 is an apocalyptic number.

349503306516 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 349503306516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570954585600).

349503306516 is an abundant number, since it is smaller than the sum of its proper divisors (792405864684).

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

349503306516 is a wasteful number, since it uses less digits than its factorization.

349503306516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 349503306516 in words is "three hundred forty-nine billion, five hundred three million, three hundred six thousand, five hundred sixteen".