349109376 has 128 divisors (see below), whose sum is σ = 1156239360. Its totient is φ = 90670080.

The previous prime is 349109351. The next prime is 349109377. The reversal of 349109376 is 673901943.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×349109376² = 243754712822218752, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (349109377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23665 + ... + 35471.

It is an arithmetic number, because the mean of its divisors is an integer number (9033120).

Almost surely, 2^349109376 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 349109376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578119680).

349109376 is an abundant number, since it is smaller than the sum of its proper divisors (807129984).

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

349109376 is a wasteful number, since it uses less digits than its factorization.

349109376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11842 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 349109376 is about 18684.4688444708. The cubic root of 349109376 is about 704.1316041846.

The spelling of 349109376 in words is "three hundred forty-nine million, one hundred nine thousand, three hundred seventy-six".