30713446400 has 432 divisors, whose sum is σ = 94656691584. Its totient is φ = 9625927680.

The previous prime is 30713446399. The next prime is 30713446403. The reversal of 30713446400 is 464431703.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30713446403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298188749 + ... + 298188851.

It is an arithmetic number, because the mean of its divisors is an integer number (219112712).

Almost surely, 2^30713446400 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 30713446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47328345792).

30713446400 is an abundant number, since it is smaller than the sum of its proper divisors (63943245184).

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

30713446400 is an equidigital number, since it uses as much as digits as its factorization.

30713446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 30713446400 in words is "thirty billion, seven hundred thirteen million, four hundred forty-six thousand, four hundred".