3962805144 has 128 divisors (see below), whose sum is σ = 10553518080. Its totient is φ = 1237939200.

The previous prime is 3962805109. The next prime is 3962805163. The reversal of 3962805144 is 4415082693.

It is a junction number, because it is equal to n+sod(n) for n = 3962805096 and 3962805105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4971754 + ... + 4972550.

It is an arithmetic number, because the mean of its divisors is an integer number (82449360).

Almost surely, 2^3962805144 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 3962805144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276759040).

3962805144 is an abundant number, since it is smaller than the sum of its proper divisors (6590712936).

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

3962805144 is a wasteful number, since it uses less digits than its factorization.

3962805144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3962805144 is about 62950.8152766904. The cubic root of 3962805144 is about 1582.4654591913.

The spelling of 3962805144 in words is "three billion, nine hundred sixty-two million, eight hundred five thousand, one hundred forty-four".