342015624 has 24 divisors (see below), whose sum is σ = 926292510. Its totient is φ = 114005184.

The previous prime is 342015613. The next prime is 342015629. The reversal of 342015624 is 426510243.

342015624 is a `hidden beast` number, since 3 + 4 + 20 + 15 + 624 = 666.

342015624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 334231524 + 7784100 = 18282^2 + 2790^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (342015629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2375037 + ... + 2375180.

Almost surely, 2^342015624 is an apocalyptic number.

It is an amenable number.

342015624 is an abundant number, since it is smaller than the sum of its proper divisors (584276886).

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

342015624 is a wasteful number, since it uses less digits than its factorization.

342015624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750229 (or 4750222 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 342015624 is about 18493.6644286631. The cubic root of 342015624 is about 699.3297148357.

Adding to 342015624 its reverse (426510243), we get a palindrome (768525867).

It can be divided in two parts, 3420 and 15624, that added together give a square (19044 = 138²).

The spelling of 342015624 in words is "three hundred forty-two million, fifteen thousand, six hundred twenty-four".