3713724278640 has 240 divisors, whose sum is σ = 13130183364480. Its totient is φ = 938072378880.

The previous prime is 3713724278639. The next prime is 3713724278653. The reversal of 3713724278640 is 468724273173.

3713724278640 is a `hidden beast` number, since 3 + 7 + 137 + 2 + 427 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129822579 + ... + 129851181.

It is an arithmetic number, because the mean of its divisors is an integer number (54709097352).

Almost surely, 2^{3713724278640} is an apocalyptic number.

3713724278640 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 3713724278640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565091682240).

3713724278640 is an abundant number, since it is smaller than the sum of its proper divisors (9416459085840).

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

3713724278640 is a wasteful number, since it uses less digits than its factorization.

3713724278640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38132 (or 38123 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 3713724278640 in words is "three trillion, seven hundred thirteen billion, seven hundred twenty-four million, two hundred seventy-eight thousand, six hundred forty".