3782214468 has 144 divisors (see below), whose sum is σ = 10468313856. Its totient is φ = 1146700800.

The previous prime is 3782214463. The next prime is 3782214479. The reversal of 3782214468 is 8644122873.

It is a happy number.

3782214468 is a `hidden beast` number, since 378 + 2 + 214 + 4 + 68 = 666.

It is a super-3 number, since 3×3782214468³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3782214463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2657205 + ... + 2658627.

It is an arithmetic number, because the mean of its divisors is an integer number (72696624).

Almost surely, 2^3782214468 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 3782214468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234156928).

3782214468 is an abundant number, since it is smaller than the sum of its proper divisors (6686099388).

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

3782214468 is a wasteful number, since it uses less digits than its factorization.

3782214468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1589 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 3782214468 is about 61499.7111212728. The cubic root of 3782214468 is about 1558.0523672569.

The spelling of 3782214468 in words is "three billion, seven hundred eighty-two million, two hundred fourteen thousand, four hundred sixty-eight".