30820091436 has 144 divisors (see below), whose sum is σ = 81881733024. Its totient is φ = 10135673856.

The previous prime is 30820091431. The next prime is 30820091437. The reversal of 30820091436 is 63419002803.

30820091436 is a `hidden beast` number, since 308 + 200 + 9 + 143 + 6 = 666.

It is a super-2 number, since 2×30820091436² (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 self number, because there is not a number n which added to its sum of digits gives 30820091436.

It is not an unprimeable number, because it can be changed into a prime (30820091431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30424066 + ... + 30425078.

It is an arithmetic number, because the mean of its divisors is an integer number (568623146).

Almost surely, 2^30820091436 is an apocalyptic number.

30820091436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30820091436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40940866512).

30820091436 is an abundant number, since it is smaller than the sum of its proper divisors (51061641588).

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

30820091436 is a wasteful number, since it uses less digits than its factorization.

30820091436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 30820091436 in words is "thirty billion, eight hundred twenty million, ninety-one thousand, four hundred thirty-six".