30347260416 has 200 divisors, whose sum is σ = 98814483504. Its totient is φ = 9196001280.

The previous prime is 30347260393. The next prime is 30347260421. The reversal of 30347260416 is 61406274303.

It is a happy number.

30347260416 is a `hidden beast` number, since 3 + 0 + 3 + 47 + 2 + 604 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 422931 + ... + 489453.

Almost surely, 2^30347260416 is an apocalyptic number.

30347260416 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 30347260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49407241752).

30347260416 is an abundant number, since it is smaller than the sum of its proper divisors (68467223088).

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

30347260416 is an equidigital number, since it uses as much as digits as its factorization.

30347260416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66564 (or 66539 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 30347260416 in words is "thirty billion, three hundred forty-seven million, two hundred sixty thousand, four hundred sixteen".