3820089312 has 288 divisors, whose sum is σ = 12660665472. Its totient is φ = 1081884672.

The previous prime is 3820089277. The next prime is 3820089347. The reversal of 3820089312 is 2139800283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3820089277) and next prime (3820089347).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2990818 + ... + 2992094.

It is an arithmetic number, because the mean of its divisors is an integer number (43960644).

Almost surely, 2^3820089312 is an apocalyptic number.

3820089312 is a gapful number since it is divisible by the number (32) 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 3820089312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6330332736).

3820089312 is an abundant number, since it is smaller than the sum of its proper divisors (8840576160).

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

3820089312 is a wasteful number, since it uses less digits than its factorization.

3820089312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3820089312 is about 61806.8710743393. The cubic root of 3820089312 is about 1563.2358474689.

Adding to 3820089312 its reverse (2139800283), we get a palindrome (5959889595).

The spelling of 3820089312 in words is "three billion, eight hundred twenty million, eighty-nine thousand, three hundred twelve".