3786135444 has 144 divisors (see below), whose sum is σ = 11813343360. Its totient is φ = 995639040.

The previous prime is 3786135427. The next prime is 3786135461. The reversal of 3786135444 is 4445316873.

3786135444 is a `hidden beast` number, since 3 + 78 + 6 + 135 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (3786135427) and next prime (3786135461).

It is a self number, because there is not a number n which added to its sum of digits gives 3786135444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272879 + ... + 1275849.

Almost surely, 2^3786135444 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 3786135444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906671680).

3786135444 is an abundant number, since it is smaller than the sum of its proper divisors (8027207916).

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

3786135444 is a wasteful number, since it uses less digits than its factorization.

3786135444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3385 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3786135444 is about 61531.5808670637. The cubic root of 3786135444 is about 1558.5905859938.

The spelling of 3786135444 in words is "three billion, seven hundred eighty-six million, one hundred thirty-five thousand, four hundred forty-four".