342905728 has 64 divisors (see below), whose sum is σ = 749088000. Its totient is φ = 155061760.

The previous prime is 342905713. The next prime is 342905743. The reversal of 342905728 is 827509243.

It is an interprime number because it is at equal distance from previous prime (342905713) and next prime (342905743).

It is a tau number, because it is divible by the number of its divisors (64).

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, 336003 + ... + 337021.

It is an arithmetic number, because the mean of its divisors is an integer number (11704500).

Almost surely, 2^342905728 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 342905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374544000).

342905728 is an abundant number, since it is smaller than the sum of its proper divisors (406182272).

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

342905728 is a wasteful number, since it uses less digits than its factorization.

342905728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 342905728 is about 18517.7138977791. The cubic root of 342905728 is about 699.9358635115.

The spelling of 342905728 in words is "three hundred forty-two million, nine hundred five thousand, seven hundred twenty-eight".