30344442400 has 72 divisors (see below), whose sum is σ = 78435956340. Its totient is φ = 11423784960.

The previous prime is 30344442367. The next prime is 30344442419. The reversal of 30344442400 is 424444303.

It can be written as a sum of positive squares in 6 ways, for example, as 19058354704 + 11286087696 = 138052^2 + 106236^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1102005 + ... + 1129204.

Almost surely, 2^30344442400 is an apocalyptic number.

It is an amenable number.

30344442400 is an abundant number, since it is smaller than the sum of its proper divisors (48091513940).

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

30344442400 is a wasteful number, since it uses less digits than its factorization.

30344442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231246 (or 2231233 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 30344442400 its reverse (424444303), we get a palindrome (30768886703).

The spelling of 30344442400 in words is "thirty billion, three hundred forty-four million, four hundred forty-two thousand, four hundred".