30846972096 has 336 divisors, whose sum is σ = 95680865280. Its totient is φ = 9842549760.

The previous prime is 30846972083. The next prime is 30846972109. The reversal of 30846972096 is 69027964803.

It is a happy number.

30846972096 is a `hidden beast` number, since 308 + 46 + 97 + 209 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (30846972083) and next prime (30846972109).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52549915 + ... + 52550501.

It is an arithmetic number, because the mean of its divisors is an integer number (284764480).

Almost surely, 2^30846972096 is an apocalyptic number.

30846972096 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 30846972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47840432640).

30846972096 is an abundant number, since it is smaller than the sum of its proper divisors (64833893184).

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

30846972096 is a wasteful number, since it uses less digits than its factorization.

30846972096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 30846972096 in words is "thirty billion, eight hundred forty-six million, nine hundred seventy-two thousand, ninety-six".