3806777106630 has 112 divisors (see below), whose sum is σ = 10286904245040. Its totient is φ = 1013825813184.

The previous prime is 3806777106533. The next prime is 3806777106661. The reversal of 3806777106630 is 366017776083.

It is a happy number.

3806777106630 is a `hidden beast` number, since 380 + 67 + 77 + 106 + 6 + 30 = 666.

3806777106630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5297401 + ... + 5972939.

Almost surely, 2^{3806777106630} is an apocalyptic number.

3806777106630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3806777106630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143452122520).

3806777106630 is an abundant number, since it is smaller than the sum of its proper divisors (6480127138410).

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

3806777106630 is an equidigital number, since it uses as much as digits as its factorization.

3806777106630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676337 (or 676322 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 3806777106630 in words is "three trillion, eight hundred six billion, seven hundred seventy-seven million, one hundred six thousand, six hundred thirty".