3828443040 has 72 divisors (see below), whose sum is σ = 13064566788. Its totient is φ = 1020917760.

The previous prime is 3828443029. The next prime is 3828443041. The reversal of 3828443040 is 403448283.

It can be written as a sum of positive squares in 2 ways, for example, as 3526934544 + 301508496 = 59388^2 + 17364^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×3828443040³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 3828442986 and 3828443004.

It is not an unprimeable number, because it can be changed into a prime (3828443041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1327881 + ... + 1330760.

Almost surely, 2^3828443040 is an apocalyptic number.

3828443040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3828443040 is an abundant number, since it is smaller than the sum of its proper divisors (9236123748).

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

3828443040 is a wasteful number, since it uses less digits than its factorization.

3828443040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658662 (or 2658651 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3828443040 is about 61874.4134517653. The cubic root of 3828443040 is about 1564.3745066792.

The spelling of 3828443040 in words is "three billion, eight hundred twenty-eight million, four hundred forty-three thousand, forty".