3828946272 has 48 divisors (see below), whose sum is σ = 10579988160. Its totient is φ = 1209140352.

The previous prime is 3828946267. The next prime is 3828946273. The reversal of 3828946272 is 2726498283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828946273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1047778 + ... + 1051425.

It is an arithmetic number, because the mean of its divisors is an integer number (220416420).

Almost surely, 2^3828946272 is an apocalyptic number.

3828946272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3828946272 is an abundant number, since it is smaller than the sum of its proper divisors (6751041888).

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

3828946272 is a wasteful number, since it uses less digits than its factorization.

3828946272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099235 (or 2099227 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The square root of 3828946272 is about 61878.4798779026. The cubic root of 3828946272 is about 1564.4430470591.

The spelling of 3828946272 in words is "three billion, eight hundred twenty-eight million, nine hundred forty-six thousand, two hundred seventy-two".