30350720 has 64 divisors (see below), whose sum is σ = 74174400. Its totient is φ = 11870208.

The previous prime is 30350711. The next prime is 30350737. The reversal of 30350720 is 2705303.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30350692 and 30350701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29576 + ... + 30584.

It is an arithmetic number, because the mean of its divisors is an integer number (1158975).

Almost surely, 2^30350720 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 30350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37087200).

30350720 is an abundant number, since it is smaller than the sum of its proper divisors (43823680).

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

30350720 is a wasteful number, since it uses less digits than its factorization.

30350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 30350720 is about 5509.1487545718. The cubic root of 30350720 is about 311.9294164241.

The spelling of 30350720 in words is "thirty million, three hundred fifty thousand, seven hundred twenty".