30364133976 has 144 divisors (see below), whose sum is σ = 95709486600. Its totient is φ = 8659960320.

The previous prime is 30364133957. The next prime is 30364133977. The reversal of 30364133976 is 67933146303.

30364133976 is a `hidden beast` number, since 303 + 6 + 4 + 1 + 339 + 7 + 6 = 666.

It is a super-2 number, since 2×30364133976² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30364133977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45595 + ... + 250613.

Almost surely, 2^30364133976 is an apocalyptic number.

30364133976 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 30364133976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47854743300).

30364133976 is an abundant number, since it is smaller than the sum of its proper divisors (65345352624).

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

30364133976 is a wasteful number, since it uses less digits than its factorization.

30364133976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205070 (or 205052 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 45.

The spelling of 30364133976 in words is "thirty billion, three hundred sixty-four million, one hundred thirty-three thousand, nine hundred seventy-six".