344728032 has 144 divisors (see below), whose sum is σ = 1013523840. Its totient is φ = 102488320.

The previous prime is 344728003. The next prime is 344728037. The reversal of 344728032 is 230827443.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 344727984 and 344728002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344728037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685093 + ... + 685595.

It is an arithmetic number, because the mean of its divisors is an integer number (7038360).

Almost surely, 2^344728032 is an apocalyptic number.

344728032 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 344728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506761920).

344728032 is an abundant number, since it is smaller than the sum of its proper divisors (668795808).

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

344728032 is a wasteful number, since it uses less digits than its factorization.

344728032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 344728032 is about 18566.8530451447. The cubic root of 344728032 is about 701.1735633719.

The spelling of 344728032 in words is "three hundred forty-four million, seven hundred twenty-eight thousand, thirty-two".