342904320 has 480 divisors, whose sum is σ = 1371474720. Its totient is φ = 81100800.

The previous prime is 342904313. The next prime is 342904321. The reversal of 342904320 is 23409243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342904321) 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, 8363500 + ... + 8363540.

It is an arithmetic number, because the mean of its divisors is an integer number (2857239).

Almost surely, 2^342904320 is an apocalyptic number.

342904320 is a gapful number since it is divisible by the number (30) 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 342904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685737360).

342904320 is an abundant number, since it is smaller than the sum of its proper divisors (1028570400).

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

342904320 is a wasteful number, since it uses less digits than its factorization.

342904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 342904320 is about 18517.6758800882. The cubic root of 342904320 is about 699.9349055115.

The spelling of 342904320 in words is "three hundred forty-two million, nine hundred four thousand, three hundred twenty".