30642400 has 36 divisors (see below), whose sum is σ = 74807712. Its totient is φ = 12256640.

The previous prime is 30642377. The next prime is 30642413. The reversal of 30642400 is 424603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18352 + ... + 19951.

It is an arithmetic number, because the mean of its divisors is an integer number (2077992).

Almost surely, 2^30642400 is an apocalyptic number.

It is an amenable number.

30642400 is an abundant number, since it is smaller than the sum of its proper divisors (44165312).

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

30642400 is a wasteful number, since it uses less digits than its factorization.

30642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38323 (or 38310 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 30642400 is about 5535.5577858062. The cubic root of 30642400 is about 312.9254790999.

The spelling of 30642400 in words is "thirty million, six hundred forty-two thousand, four hundred".