3691793134080 has 640 divisors, whose sum is σ = 14155740403200. Its totient is φ = 909191872512.

The previous prime is 3691793134033. The next prime is 3691793134093. The reversal of 3691793134080 is 804313971963.

It is a happy number.

3691793134080 is a `hidden beast` number, since 3 + 69 + 179 + 3 + 1 + 3 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46063002 + ... + 46143078.

It is an arithmetic number, because the mean of its divisors is an integer number (22118344380).

Almost surely, 2^{3691793134080} is an apocalyptic number.

3691793134080 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 3691793134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077870201600).

3691793134080 is an abundant number, since it is smaller than the sum of its proper divisors (10463947269120).

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

3691793134080 is a wasteful number, since it uses less digits than its factorization.

3691793134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80161 (or 80139 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 3691793134080 in words is "three trillion, six hundred ninety-one billion, seven hundred ninety-three million, one hundred thirty-four thousand, eighty".