3781547136 has 96 divisors (see below), whose sum is σ = 11060391420. Its totient is φ = 1239828480.

The previous prime is 3781547123. The next prime is 3781547153. The reversal of 3781547136 is 6317451873.

3781547136 is a `hidden beast` number, since 3 + 78 + 1 + 547 + 1 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3511273536 + 270273600 = 59256^2 + 16440^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3781547091 and 3781547100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43366 + ... + 97178.

Almost surely, 2^3781547136 is an apocalyptic number.

3781547136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3781547136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5530195710).

3781547136 is an abundant number, since it is smaller than the sum of its proper divisors (7278844284).

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

3781547136 is a wasteful number, since it uses less digits than its factorization.

3781547136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53894 (or 53879 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 3781547136 is about 61494.2853930347. The cubic root of 3781547136 is about 1557.9607278776.

The spelling of 3781547136 in words is "three billion, seven hundred eighty-one million, five hundred forty-seven thousand, one hundred thirty-six".