30344920704 has 768 divisors, whose sum is σ = 111349728000. Its totient is φ = 8095997952.

The previous prime is 30344920699. The next prime is 30344920709. The reversal of 30344920704 is 40702944303.

30344920704 is a `hidden beast` number, since 3 + 0 + 3 + 449 + 207 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (30344920699) and next prime (30344920709).

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

It is not an unprimeable number, because it can be changed into a prime (30344920709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181706029 + ... + 181706195.

It is an arithmetic number, because the mean of its divisors is an integer number (144986625).

Almost surely, 2^30344920704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30344920704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55674864000).

30344920704 is an abundant number, since it is smaller than the sum of its proper divisors (81004807296).

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

30344920704 is a wasteful number, since it uses less digits than its factorization.

30344920704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 30344920704 in words is "thirty billion, three hundred forty-four million, nine hundred twenty thousand, seven hundred four".