3691763712 has 576 divisors, whose sum is σ = 13737185280. Its totient is φ = 928972800.

The previous prime is 3691763701. The next prime is 3691763729. The reversal of 3691763712 is 2173671963.

3691763712 is a `hidden beast` number, since 3 + 6 + 9 + 1 + 7 + 637 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

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, 51996637 + ... + 51996707.

It is an arithmetic number, because the mean of its divisors is an integer number (23849280).

Almost surely, 2^3691763712 is an apocalyptic number.

3691763712 is a gapful number since it is divisible by the number (32) 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 3691763712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6868592640).

3691763712 is an abundant number, since it is smaller than the sum of its proper divisors (10045421568).

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

3691763712 is a wasteful number, since it uses less digits than its factorization.

3691763712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 3691763712 is about 60759.8857141782. The cubic root of 3691763712 is about 1545.5318720533.

The spelling of 3691763712 in words is "three billion, six hundred ninety-one million, seven hundred sixty-three thousand, seven hundred twelve".