30329478400 has 108 divisors (see below), whose sum is σ = 80845050412. Its totient is φ = 11198545920.

The previous prime is 30329478391. The next prime is 30329478409. The reversal of 30329478400 is 487492303.

It is an interprime number because it is at equal distance from previous prime (30329478391) and next prime (30329478409).

It can be written as a sum of positive squares in 6 ways, for example, as 1841439744 + 28488038656 = 42912^2 + 168784^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30329478409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99069 + ... + 265468.

Almost surely, 2^30329478400 is an apocalyptic number.

It is an amenable number.

30329478400 is an abundant number, since it is smaller than the sum of its proper divisors (50515572012).

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

30329478400 is a wasteful number, since it uses less digits than its factorization.

30329478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364576 (or 364557 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 30329478400 in words is "thirty billion, three hundred twenty-nine million, four hundred seventy-eight thousand, four hundred".