30000326400 has 540 divisors, whose sum is σ = 121031956584. Its totient is φ = 7271424000.

The previous prime is 30000326383. The next prime is 30000326407. The reversal of 30000326400 is 462300003.

30000326400 is a `hidden beast` number, since 300 + 0 + 0 + 326 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30000326407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5699770 + ... + 5705030.

Almost surely, 2^30000326400 is an apocalyptic number.

30000326400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30000326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60515978292).

30000326400 is an abundant number, since it is smaller than the sum of its proper divisors (91031630184).

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

30000326400 is a wasteful number, since it uses less digits than its factorization.

30000326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5310 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30000326400 its reverse (462300003), we get a palindrome (30462626403).

The spelling of 30000326400 in words is "thirty billion, three hundred twenty-six thousand, four hundred".