349448937696 has 216 divisors, whose sum is σ = 1042613011440. Its totient is φ = 115275405312.

The previous prime is 349448937689. The next prime is 349448937697. The reversal of 349448937696 is 696739844943.

349448937696 is a `hidden beast` number, since 3 + 4 + 9 + 448 + 93 + 7 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×349448937696² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349448937697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20356765 + ... + 20373923.

It is an arithmetic number, because the mean of its divisors is an integer number (4826912090).

Almost surely, 2^349448937696 is an apocalyptic number.

349448937696 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 349448937696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521306505720).

349448937696 is an abundant number, since it is smaller than the sum of its proper divisors (693164073744).

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

349448937696 is an frugal number, since it uses more digits than its factorization.

349448937696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17290 (or 17261 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 349448937696 in words is "three hundred forty-nine billion, four hundred forty-eight million, nine hundred thirty-seven thousand, six hundred ninety-six".