3713668560 has 800 divisors, whose sum is σ = 16132300800. Its totient is φ = 772623360.

The previous prime is 3713668559. The next prime is 3713668589. The reversal of 3713668560 is 658663173.

3713668560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26716971 + ... + 26717109.

It is an arithmetic number, because the mean of its divisors is an integer number (20165376).

Almost surely, 2^3713668560 is an apocalyptic number.

3713668560 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 3713668560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066150400).

3713668560 is an abundant number, since it is smaller than the sum of its proper divisors (12418632240).

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

3713668560 is a wasteful number, since it uses less digits than its factorization.

3713668560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3713668560 is about 60939.8765998094. The cubic root of 3713668560 is about 1548.5826182633.

The spelling of 3713668560 in words is "three billion, seven hundred thirteen million, six hundred sixty-eight thousand, five hundred sixty".