3807117727020 has 144 divisors (see below), whose sum is σ = 11982647503008. Its totient is φ = 1014665356800.

The previous prime is 3807117726953. The next prime is 3807117727051. The reversal of 3807117727020 is 207277117083.

3807117727020 is a `hidden beast` number, since 380 + 7 + 117 + 72 + 70 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8535382 + ... + 8970338.

It is an arithmetic number, because the mean of its divisors is an integer number (83212829882).

Almost surely, 2^{3807117727020} is an apocalyptic number.

3807117727020 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 3807117727020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991323751504).

3807117727020 is an abundant number, since it is smaller than the sum of its proper divisors (8175529775988).

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

3807117727020 is a wasteful number, since it uses less digits than its factorization.

3807117727020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436782 (or 436768 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 3807117727020 in words is "three trillion, eight hundred seven billion, one hundred seventeen million, seven hundred twenty-seven thousand, twenty".