30438690560 has 72 divisors (see below), whose sum is σ = 72961405776. Its totient is φ = 12166922240.

The previous prime is 30438690523. The next prime is 30438690571. The reversal of 30438690560 is 6509683403.

It is a super-2 number, since 2×30438690560² (a number of 22 digits) contains 22 as substring.

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, 2003312 + ... + 2018448.

It is an arithmetic number, because the mean of its divisors is an integer number (1013352858).

Almost surely, 2^30438690560 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 30438690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36480702888).

30438690560 is an abundant number, since it is smaller than the sum of its proper divisors (42522715216).

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

30438690560 is a wasteful number, since it uses less digits than its factorization.

30438690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16729 (or 16715 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 30438690560 in words is "thirty billion, four hundred thirty-eight million, six hundred ninety thousand, five hundred sixty".