3116793600 has 432 divisors, whose sum is σ = 12112662240. Its totient is φ = 781516800.

The previous prime is 3116793593. The next prime is 3116793601. The reversal of 3116793600 is 63976113.

3116793600 is a `hidden beast` number, since 31 + 16 + 7 + 9 + 3 + 600 = 666.

3116793600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×3116793600³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3116793601) 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, 2937070 + ... + 2938130.

It is an arithmetic number, because the mean of its divisors is an integer number (28038570).

Almost surely, 2^3116793600 is an apocalyptic number.

3116793600 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 3116793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056331120).

3116793600 is an abundant number, since it is smaller than the sum of its proper divisors (8995868640).

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

3116793600 is a wasteful number, since it uses less digits than its factorization.

3116793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 3116793600 is about 55828.2509129562. The cubic root of 3116793600 is about 1460.7279787358.

The spelling of 3116793600 in words is "three billion, one hundred sixteen million, seven hundred ninety-three thousand, six hundred".