3715868160 has 480 divisors, whose sum is σ = 13960758240. Its totient is φ = 909901824.

The previous prime is 3715868159. The next prime is 3715868161. The reversal of 3715868160 is 618685173.

3715868160 is a `hidden beast` number, since 3 + 7 + 1 + 586 + 8 + 1 + 60 = 666.

3715868160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3715868159) and next prime (3715868161).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3715868161) 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, 20758951 + ... + 20759129.

It is an arithmetic number, because the mean of its divisors is an integer number (29084913).

Almost surely, 2^3715868160 is an apocalyptic number.

3715868160 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 3715868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980379120).

3715868160 is an abundant number, since it is smaller than the sum of its proper divisors (10244890080).

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

3715868160 is a wasteful number, since it uses less digits than its factorization.

3715868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3715868160 is about 60957.9212243987. The cubic root of 3715868160 is about 1548.8882989296. Note that the first 3 decimals are identical.

The spelling of 3715868160 in words is "three billion, seven hundred fifteen million, eight hundred sixty-eight thousand, one hundred sixty".