349205472 has 384 divisors, whose sum is σ = 1320883200. Its totient is φ = 87091200.

The previous prime is 349205471. The next prime is 349205497. The reversal of 349205472 is 274502943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349205471) 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 63 ways as a sum of consecutive naturals, for example, 1929222 + ... + 1929402.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^349205472 is an apocalyptic number.

349205472 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 349205472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

349205472 is an abundant number, since it is smaller than the sum of its proper divisors (971677728).

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

349205472 is a wasteful number, since it uses less digits than its factorization.

349205472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 349205472 is about 18687.0402150795. The cubic root of 349205472 is about 704.1962047823.

The spelling of 349205472 in words is "three hundred forty-nine million, two hundred five thousand, four hundred seventy-two".