30342000400 has 120 divisors (see below), whose sum is σ = 73735977024. Its totient is φ = 11997888000.

The previous prime is 30342000397. The next prime is 30342000421. The reversal of 30342000400 is 400024303.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13709694 + ... + 13711906.

Almost surely, 2^30342000400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30342000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36867988512).

30342000400 is an abundant number, since it is smaller than the sum of its proper divisors (43393976624).

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

30342000400 is a wasteful number, since it uses less digits than its factorization.

30342000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 30342000400 its reverse (400024303), we get a palindrome (30742024703).

The spelling of 30342000400 in words is "thirty billion, three hundred forty-two million, four hundred", and thus it is an aban number.