349732152 has 192 divisors, whose sum is σ = 1190592000. Its totient is φ = 90097920.

The previous prime is 349732151. The next prime is 349732171. The reversal of 349732152 is 251237943.

It is a super-2 number, since 2×349732152² = 244625156285102208, which contains 22 as substring.

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 (349732151) 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, 1103098 + ... + 1103414.

It is an arithmetic number, because the mean of its divisors is an integer number (6201000).

Almost surely, 2^349732152 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 349732152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595296000).

349732152 is an abundant number, since it is smaller than the sum of its proper divisors (840859848).

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

349732152 is a wasteful number, since it uses less digits than its factorization.

349732152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 349732152 is about 18701.1270248614. The cubic root of 349732152 is about 704.5500554359.

The spelling of 349732152 in words is "three hundred forty-nine million, seven hundred thirty-two thousand, one hundred fifty-two".