349831152 has 240 divisors, whose sum is σ = 1129070592. Its totient is φ = 100154880.

The previous prime is 349831133. The next prime is 349831171. The reversal of 349831152 is 251138943.

It is an interprime number because it is at equal distance from previous prime (349831133) and next prime (349831171).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2754513 + ... + 2754639.

Almost surely, 2^349831152 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 349831152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564535296).

349831152 is an abundant number, since it is smaller than the sum of its proper divisors (779239440).

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

349831152 is a wasteful number, since it uses less digits than its factorization.

349831152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 349831152 is about 18703.7737368693. The cubic root of 349831152 is about 704.6165290449.

The spelling of 349831152 in words is "three hundred forty-nine million, eight hundred thirty-one thousand, one hundred fifty-two".