30936161760 has 576 divisors, whose sum is σ = 122615700480. Its totient is φ = 6514421760.

The previous prime is 30936161699. The next prime is 30936161761. The reversal of 30936161760 is 6716163903.

It is a super-3 number, since 3×30936161760³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30936161761) 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 95 ways as a sum of consecutive naturals, for example, 16533625 + ... + 16535495.

It is an arithmetic number, because the mean of its divisors is an integer number (212874480).

Almost surely, 2^30936161760 is an apocalyptic number.

30936161760 is a gapful number since it is divisible by the number (30) 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 30936161760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61307850240).

30936161760 is an abundant number, since it is smaller than the sum of its proper divisors (91679538720).

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

30936161760 is a wasteful number, since it uses less digits than its factorization.

30936161760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The spelling of 30936161760 in words is "thirty billion, nine hundred thirty-six million, one hundred sixty-one thousand, seven hundred sixty".