3715164000 has 288 divisors, whose sum is σ = 13614531840. Its totient is φ = 958464000.

The previous prime is 3715163989. The next prime is 3715164001. The reversal of 3715164000 is 4615173.

3715164000 is a `hidden beast` number, since 3 + 7 + 15 + 1 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3715164001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114336 + ... + 1117664.

It is an arithmetic number, because the mean of its divisors is an integer number (47272680).

Almost surely, 2^3715164000 is an apocalyptic number.

3715164000 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 3715164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807265920).

3715164000 is an abundant number, since it is smaller than the sum of its proper divisors (9899367840).

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

3715164000 is a wasteful number, since it uses less digits than its factorization.

3715164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3715164000 is about 60952.1451632344. The cubic root of 3715164000 is about 1548.7904542234.

Adding to 3715164000 its reverse (4615173), we get a palindrome (3719779173).

The spelling of 3715164000 in words is "three billion, seven hundred fifteen million, one hundred sixty-four thousand".