342256320 has 224 divisors, whose sum is σ = 1380134400. Its totient is φ = 78216192.

The previous prime is 342256309. The next prime is 342256363. The reversal of 342256320 is 23652243.

342256320 is a `hidden beast` number, since 3 + 4 + 2 + 25 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×342256320³ (a number of 27 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 57651 + ... + 63309.

Almost surely, 2^342256320 is an apocalyptic number.

342256320 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 342256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690067200).

342256320 is an abundant number, since it is smaller than the sum of its proper divisors (1037878080).

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

342256320 is a wasteful number, since it uses less digits than its factorization.

342256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5692 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 342256320 is about 18500.1708100223. The cubic root of 342256320 is about 699.4937291690.

The spelling of 342256320 in words is "three hundred forty-two million, two hundred fifty-six thousand, three hundred twenty".