3820801152 has 256 divisors, whose sum is σ = 12215911680. Its totient is φ = 1035141120.

The previous prime is 3820801133. The next prime is 3820801157. The reversal of 3820801152 is 2511080283.

It is not an unprimeable number, because it can be changed into a prime (3820801157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4077228 + ... + 4078164.

It is an arithmetic number, because the mean of its divisors is an integer number (47718405).

Almost surely, 2^3820801152 is an apocalyptic number.

3820801152 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 3820801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107955840).

3820801152 is an abundant number, since it is smaller than the sum of its proper divisors (8395110528).

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

3820801152 is a wasteful number, since it uses less digits than its factorization.

3820801152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 3820801152 is about 61812.6293891467. The cubic root of 3820801152 is about 1563.3329398493.

The spelling of 3820801152 in words is "three billion, eight hundred twenty million, eight hundred one thousand, one hundred fifty-two".