3691243809792 has 1056 divisors, whose sum is σ = 14077176422400. Its totient is φ = 938136453120.

The previous prime is 3691243809769. The next prime is 3691243809817. The reversal of 3691243809792 is 2979083421963.

3691243809792 is a `hidden beast` number, since 3 + 69 + 1 + 24 + 380 + 97 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 900520959 + ... + 900525057.

Almost surely, 2^{3691243809792} is an apocalyptic number.

3691243809792 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 3691243809792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7038588211200).

3691243809792 is an abundant number, since it is smaller than the sum of its proper divisors (10385932612608).

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

3691243809792 is a wasteful number, since it uses less digits than its factorization.

3691243809792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 3691243809792 in words is "three trillion, six hundred ninety-one billion, two hundred forty-three million, eight hundred nine thousand, seven hundred ninety-two".