3671706003264 has 672 divisors, whose sum is σ = 11891764684800. Its totient is φ = 1116577363968.

The previous prime is 3671706003257. The next prime is 3671706003289. The reversal of 3671706003264 is 4623006071763.

3671706003264 is a `hidden beast` number, since 3 + 6 + 7 + 1 + 7 + 0 + 600 + 32 + 6 + 4 = 666.

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, 10581285139 + ... + 10581285485.

It is an arithmetic number, because the mean of its divisors is an integer number (17696078400).

Almost surely, 2^{3671706003264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3671706003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945882342400).

3671706003264 is an abundant number, since it is smaller than the sum of its proper divisors (8220058681536).

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

3671706003264 is a wasteful number, since it uses less digits than its factorization.

3671706003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 3671706003264 in words is "three trillion, six hundred seventy-one billion, seven hundred six million, three thousand, two hundred sixty-four".