3777106777340 has 192 divisors, whose sum is σ = 8716288089600. Its totient is φ = 1366429768704.

The previous prime is 3777106777337. The next prime is 3777106777349. The reversal of 3777106777340 is 437776017773.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3777106777340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3777106777349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3706679351 + ... + 3706680369.

It is an arithmetic number, because the mean of its divisors is an integer number (45397333800).

Almost surely, 2^{3777106777340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3777106777340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358144044800).

3777106777340 is an abundant number, since it is smaller than the sum of its proper divisors (4939181312260).

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

3777106777340 is a wasteful number, since it uses less digits than its factorization.

3777106777340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 25412184, while the sum is 59.

The spelling of 3777106777340 in words is "three trillion, seven hundred seventy-seven billion, one hundred six million, seven hundred seventy-seven thousand, three hundred forty".