3906777546 has 60 divisors (see below), whose sum is σ = 9874987122. Its totient is φ = 1116209808.

The previous prime is 3906777541. The next prime is 3906777577. The reversal of 3906777546 is 6457776093.

3906777546 is a `hidden beast` number, since 3 + 90 + 6 + 7 + 7 + 7 + 546 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3903125625 + 3651921 = 62475^2 + 1911^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3906777492 and 3906777501.

It is not an unprimeable number, because it can be changed into a prime (3906777541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1981 + ... + 88416.

Almost surely, 2^3906777546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3906777546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937493561).

3906777546 is an abundant number, since it is smaller than the sum of its proper divisors (5968209576).

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

3906777546 is an equidigital number, since it uses as much as digits as its factorization.

3906777546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90433 (or 90409 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The square root of 3906777546 is about 62504.2202255176. The cubic root of 3906777546 is about 1574.9722069170.

The spelling of 3906777546 in words is "three billion, nine hundred six million, seven hundred seventy-seven thousand, five hundred forty-six".