342024480 has 144 divisors (see below), whose sum is σ = 1333934784. Its totient is φ = 78174720.

The previous prime is 342024439. The next prime is 342024503. The reversal of 342024480 is 84420243.

It is a happy number.

342024480 is a `hidden beast` number, since 342 + 0 + 244 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6886 + ... + 27045.

It is an arithmetic number, because the mean of its divisors is an integer number (9263436).

Almost surely, 2^342024480 is an apocalyptic number.

342024480 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 342024480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666967392).

342024480 is an abundant number, since it is smaller than the sum of its proper divisors (991910304).

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

342024480 is a wasteful number, since it uses less digits than its factorization.

342024480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33959 (or 33948 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 342024480 is about 18493.9038604617. The cubic root of 342024480 is about 699.3357508275.

The spelling of 342024480 in words is "three hundred forty-two million, twenty-four thousand, four hundred eighty".