349848072 has 192 divisors, whose sum is σ = 1148958720. Its totient is φ = 97651008.

The previous prime is 349848019. The next prime is 349848077. The reversal of 349848072 is 270848943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349848077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639303 + ... + 639849.

It is an arithmetic number, because the mean of its divisors is an integer number (5984160).

Almost surely, 2^349848072 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 349848072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574479360).

349848072 is an abundant number, since it is smaller than the sum of its proper divisors (799110648).

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

349848072 is a wasteful number, since it uses less digits than its factorization.

349848072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 349848072 is about 18704.2260465383. The cubic root of 349848072 is about 704.6278887341.

The spelling of 349848072 in words is "three hundred forty-nine million, eight hundred forty-eight thousand, seventy-two".