3713664240 has 480 divisors, whose sum is σ = 15155488320. Its totient is φ = 830269440.

The previous prime is 3713664233. The next prime is 3713664271. The reversal of 3713664240 is 424663173.

It is a happy number.

3713664240 is a `hidden beast` number, since 3 + 7 + 1 + 3 + 6 + 642 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3713664195 and 3713664204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3397134 + ... + 3398226.

It is an arithmetic number, because the mean of its divisors is an integer number (31573934).

Almost surely, 2^3713664240 is an apocalyptic number.

3713664240 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 3713664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577744160).

3713664240 is an abundant number, since it is smaller than the sum of its proper divisors (11441824080).

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

3713664240 is a wasteful number, since it uses less digits than its factorization.

3713664240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3713664240 is about 60939.8411550276. The cubic root of 3713664240 is about 1548.5820177897.

The spelling of 3713664240 in words is "three billion, seven hundred thirteen million, six hundred sixty-four thousand, two hundred forty".