349675392 has 128 divisors (see below), whose sum is σ = 1066838400. Its totient is φ = 100362240.

The previous prime is 349675387. The next prime is 349675399. The reversal of 349675392 is 293576943.

It is a happy number.

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

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349675399) 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, 78078 + ... + 82434.

It is an arithmetic number, because the mean of its divisors is an integer number (8334675).

Almost surely, 2^349675392 is an apocalyptic number.

349675392 is a gapful number since it is divisible by the number (32) 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 349675392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533419200).

349675392 is an abundant number, since it is smaller than the sum of its proper divisors (717163008).

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

349675392 is a wasteful number, since it uses less digits than its factorization.

349675392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4392 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 48.

The square root of 349675392 is about 18699.6094076855. The cubic root of 349675392 is about 704.5119382420.

The spelling of 349675392 in words is "three hundred forty-nine million, six hundred seventy-five thousand, three hundred ninety-two".