3828167460 has 192 divisors, whose sum is σ = 12861676800. Its totient is φ = 939700224.

The previous prime is 3828167411. The next prime is 3828167461. The reversal of 3828167460 is 647618283.

3828167460 is a `hidden beast` number, since 3 + 8 + 28 + 167 + 460 = 666.

It is a super-2 number, since 2×3828167460² = 29309732203605703200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3828167461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4120276 + ... + 4121204.

It is an arithmetic number, because the mean of its divisors is an integer number (66987900).

Almost surely, 2^3828167460 is an apocalyptic number.

3828167460 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 3828167460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6430838400).

3828167460 is an abundant number, since it is smaller than the sum of its proper divisors (9033509340).

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

3828167460 is a wasteful number, since it uses less digits than its factorization.

3828167460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3828167460 is about 61872.1864814878. The cubic root of 3828167460 is about 1564.3369700386.

The spelling of 3828167460 in words is "three billion, eight hundred twenty-eight million, one hundred sixty-seven thousand, four hundred sixty".