3822701584 has 135 divisors (see below), whose sum is σ = 8513658309. Its totient is φ = 1661936640.

The previous prime is 3822701563. The next prime is 3822701609. The reversal of 3822701584 is 4851072283.

It is a happy number.

The square root of 3822701584 is 61828.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 3742992400 + 79709184 = 61180^2 + 8928^2 .

It is a super-2 number, since 2×3822701584² = 29226094800632218112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93236604 + ... + 93236644.

Almost surely, 2^3822701584 is an apocalyptic number.

3822701584 is the 61828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3822701584

3822701584 is an abundant number, since it is smaller than the sum of its proper divisors (4690956725).

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

3822701584 is a wasteful number, since it uses less digits than its factorization.

3822701584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The cubic root of 3822701584 is about 1563.5920927843.

The spelling of 3822701584 in words is "three billion, eight hundred twenty-two million, seven hundred one thousand, five hundred eighty-four".