30342246864300 has 720 divisors, whose sum is σ = 113313406852800. Its totient is φ = 6879677276160.

The previous prime is 30342246864253. The next prime is 30342246864341. The reversal of 30342246864300 is 346864224303.

It is a happy number.

30342246864300 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 224 + 68 + 64 + 300 = 666.

It is a super-2 number, since 2×30342246864300² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7916055184 + ... + 7916059016.

It is an arithmetic number, because the mean of its divisors is an integer number (157379731740).

Almost surely, 2^{30342246864300} is an apocalyptic number.

30342246864300 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 30342246864300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56656703426400).

30342246864300 is an abundant number, since it is smaller than the sum of its proper divisors (82971159988500).

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

30342246864300 is a wasteful number, since it uses less digits than its factorization.

30342246864300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 30342246864300 in words is "thirty trillion, three hundred forty-two billion, two hundred forty-six million, eight hundred sixty-four thousand, three hundred".