349015919616 has 528 divisors, whose sum is σ = 1245594063168. Its totient is φ = 91658649600.

The previous prime is 349015919573. The next prime is 349015919617. The reversal of 349015919616 is 616919510943.

It is a happy number.

349015919616 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 1 + 5 + 9 + 19 + 616 = 666.

It is a super-2 number, since 2×349015919616² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (349015919617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235661596 + ... + 235663076.

Almost surely, 2^349015919616 is an apocalyptic number.

349015919616 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 349015919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622797031584).

349015919616 is an abundant number, since it is smaller than the sum of its proper divisors (896578143552).

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

349015919616 is a wasteful number, since it uses less digits than its factorization.

349015919616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 349015919616 in words is "three hundred forty-nine billion, fifteen million, nine hundred nineteen thousand, six hundred sixteen".