30399264000 has 864 divisors, whose sum is σ = 132514776576. Its totient is φ = 6532300800.

The previous prime is 30399263987. The next prime is 30399264001. The reversal of 30399264000 is 46299303.

It is a happy number.

30399264000 is a `hidden beast` number, since 3 + 0 + 3 + 9 + 9 + 2 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30399264001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34271557 + ... + 34272443.

It is an arithmetic number, because the mean of its divisors is an integer number (153373584).

Almost surely, 2^30399264000 is an apocalyptic number.

30399264000 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 30399264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66257388288).

30399264000 is an abundant number, since it is smaller than the sum of its proper divisors (102115512576).

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

30399264000 is a wasteful number, since it uses less digits than its factorization.

30399264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 30399264000 in words is "thirty billion, three hundred ninety-nine million, two hundred sixty-four thousand".