346134272 has 72 divisors (see below), whose sum is σ = 761815152. Its totient is φ = 155648000.

The previous prime is 346134247. The next prime is 346134287. The reversal of 346134272 is 272431643.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283808 + ... + 285024.

It is an arithmetic number, because the mean of its divisors is an integer number (10580766).

Almost surely, 2^346134272 is an apocalyptic number.

346134272 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 346134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380907576).

346134272 is an abundant number, since it is smaller than the sum of its proper divisors (415680880).

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

346134272 is a wasteful number, since it uses less digits than its factorization.

346134272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1331 counting only the distinct ones).

The product of its digits is 24192, while the sum is 32.

The square root of 346134272 is about 18604.6841413661. The cubic root of 346134272 is about 702.1256961687.

The spelling of 346134272 in words is "three hundred forty-six million, one hundred thirty-four thousand, two hundred seventy-two".