3840828972 has 96 divisors (see below), whose sum is σ = 10132480512. Its totient is φ = 1125712896.

The previous prime is 3840828961. The next prime is 3840828973. The reversal of 3840828972 is 2798280483.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3840828973) by changing a digit.

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, 192238 + ... + 211274.

It is an arithmetic number, because the mean of its divisors is an integer number (105546672).

Almost surely, 2^3840828972 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 3840828972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066240256).

3840828972 is an abundant number, since it is smaller than the sum of its proper divisors (6291651540).

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

3840828972 is a wasteful number, since it uses less digits than its factorization.

3840828972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19127 (or 19125 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The square root of 3840828972 is about 61974.4219174330. The cubic root of 3840828972 is about 1566.0597329313.

The spelling of 3840828972 in words is "three billion, eight hundred forty million, eight hundred twenty-eight thousand, nine hundred seventy-two".