3828577536 has 288 divisors, whose sum is σ = 13192139520. Its totient is φ = 1072521216.

The previous prime is 3828577523. The next prime is 3828577549. The reversal of 3828577536 is 6357758283.

3828577536 is a `hidden beast` number, since 38 + 2 + 8 + 5 + 77 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (3828577523) and next prime (3828577549).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2563606 + ... + 2565098.

It is an arithmetic number, because the mean of its divisors is an integer number (45806040).

Almost surely, 2^3828577536 is an apocalyptic number.

3828577536 is a gapful number since it is divisible by the number (36) 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 3828577536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596069760).

3828577536 is an abundant number, since it is smaller than the sum of its proper divisors (9363561984).

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

3828577536 is a wasteful number, since it uses less digits than its factorization.

3828577536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1558 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 3828577536 is about 61875.5002888866. The cubic root of 3828577536 is about 1564.3928256710.

The spelling of 3828577536 in words is "three billion, eight hundred twenty-eight million, five hundred seventy-seven thousand, five hundred thirty-six".