3711042656640 has 3072 divisors, whose sum is σ = 16424239104000. Its totient is φ = 790091366400.

The previous prime is 3711042656627. The next prime is 3711042656653. The reversal of 3711042656640 is 466562401173.

3711042656640 is a `hidden beast` number, since 3 + 7 + 1 + 1 + 0 + 42 + 6 + 566 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3711042656627) and next prime (3711042656653).

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 383 ways as a sum of consecutive naturals, for example, 29220808257 + ... + 29220808383.

It is an arithmetic number, because the mean of its divisors is an integer number (5346432000).

Almost surely, 2^{3711042656640} is an apocalyptic number.

3711042656640 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 3711042656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8212119552000).

3711042656640 is an abundant number, since it is smaller than the sum of its proper divisors (12713196447360).

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

3711042656640 is a wasteful number, since it uses less digits than its factorization.

3711042656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3711042656640 in words is "three trillion, seven hundred eleven billion, forty-two million, six hundred fifty-six thousand, six hundred forty".