3822142464 has 440 divisors, whose sum is σ = 13553432640. Its totient is φ = 1049739264.

The previous prime is 3822142463. The next prime is 3822142481. The reversal of 3822142464 is 4642412283.

3822142464 is a `hidden beast` number, since 3 + 8 + 221 + 424 + 6 + 4 = 666.

It is a super-2 number, since 2×3822142464² = 29217546030223982592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3822142463) 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 39 ways as a sum of consecutive naturals, for example, 16837519 + ... + 16837745.

It is an arithmetic number, because the mean of its divisors is an integer number (30803256).

Almost surely, 2^3822142464 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 3822142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6776716320).

3822142464 is an abundant number, since it is smaller than the sum of its proper divisors (9731290176).

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

3822142464 is a wasteful number, since it uses less digits than its factorization.

3822142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 3822142464 is about 61823.4782586680. The cubic root of 3822142464 is about 1563.5158571503.

The spelling of 3822142464 in words is "three billion, eight hundred twenty-two million, one hundred forty-two thousand, four hundred sixty-four".