3828364080 has 80 divisors (see below), whose sum is σ = 11920379904. Its totient is φ = 1016385280.

The previous prime is 3828364013. The next prime is 3828364097. The reversal of 3828364080 is 804638283.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19345 + ... + 89615.

Almost surely, 2^3828364080 is an apocalyptic number.

3828364080 is a gapful number since it is divisible by the number (30) 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 3828364080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960189952).

3828364080 is an abundant number, since it is smaller than the sum of its proper divisors (8092015824).

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

3828364080 is a wasteful number, since it uses less digits than its factorization.

3828364080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70514 (or 70508 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 3828364080 is about 61873.7753818207. The cubic root of 3828364080 is about 1564.3637517536.

The spelling of 3828364080 in words is "three billion, eight hundred twenty-eight million, three hundred sixty-four thousand, eighty".