342217728 has 132 divisors (see below), whose sum is σ = 1003979808. Its totient is φ = 112250880.

The previous prime is 342217723. The next prime is 342217741. The reversal of 342217728 is 827712243.

It is a super-2 number, since 2×342217728² = 234225946714963968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 342217692 and 342217701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342217723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 654075 + ... + 654597.

Almost surely, 2^342217728 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 342217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501989904).

342217728 is an abundant number, since it is smaller than the sum of its proper divisors (661762080).

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

342217728 is a wasteful number, since it uses less digits than its factorization.

342217728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 599 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 342217728 is about 18499.1277632217. The cubic root of 342217728 is about 699.4674371036.

The spelling of 342217728 in words is "three hundred forty-two million, two hundred seventeen thousand, seven hundred twenty-eight".