342364320 has 120 divisors (see below), whose sum is σ = 1208306484. Its totient is φ = 91293696.

The previous prime is 342364283. The next prime is 342364333. The reversal of 342364320 is 23463243.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 320123664 + 22240656 = 17892^2 + 4716^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 249 + ... + 26168.

Almost surely, 2^342364320 is an apocalyptic number.

342364320 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 342364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604153242).

342364320 is an abundant number, since it is smaller than the sum of its proper divisors (865942164).

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

342364320 is a wasteful number, since it uses less digits than its factorization.

342364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26444 (or 26427 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 342364320 is about 18503.0894717612. The cubic root of 342364320 is about 699.5672972071.

The spelling of 342364320 in words is "three hundred forty-two million, three hundred sixty-four thousand, three hundred twenty".