30531338208 has 384 divisors, whose sum is σ = 104410736640. Its totient is φ = 8500101120.

The previous prime is 30531338197. The next prime is 30531338213. The reversal of 30531338208 is 80283313503.

30531338208 is a `hidden beast` number, since 305 + 313 + 38 + 2 + 0 + 8 = 666.

It is a super-2 number, since 2×30531338208² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41652210 + ... + 41652942.

It is an arithmetic number, because the mean of its divisors is an integer number (271902960).

Almost surely, 2^30531338208 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 30531338208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52205368320).

30531338208 is an abundant number, since it is smaller than the sum of its proper divisors (73879398432).

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

30531338208 is a wasteful number, since it uses less digits than its factorization.

30531338208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 30531338208 in words is "thirty billion, five hundred thirty-one million, three hundred thirty-eight thousand, two hundred eight".