3786436456 has 64 divisors (see below), whose sum is σ = 8098030080. Its totient is φ = 1642956480.

The previous prime is 3786436421. The next prime is 3786436487. The reversal of 3786436456 is 6546346873.

3786436456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186495 + ... + 1189681.

It is an arithmetic number, because the mean of its divisors is an integer number (126531720).

Almost surely, 2^3786436456 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 3786436456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049015040).

3786436456 is an abundant number, since it is smaller than the sum of its proper divisors (4311593624).

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

3786436456 is a wasteful number, since it uses less digits than its factorization.

3786436456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3810 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 52.

The square root of 3786436456 is about 61534.0268144382. The cubic root of 3786436456 is about 1558.6318895027.

The spelling of 3786436456 in words is "three billion, seven hundred eighty-six million, four hundred thirty-six thousand, four hundred fifty-six".