3828270600 has 1008 divisors, whose sum is σ = 17304725760. Its totient is φ = 769824000.

The previous prime is 3828270587. The next prime is 3828270661. The reversal of 3828270600 is 60728283.

It is a happy number.

3828270600 is a `hidden beast` number, since 3 + 8 + 28 + 27 + 0 + 600 = 666.

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

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 251 ways as a sum of consecutive naturals, for example, 123492585 + ... + 123492615.

Almost surely, 2^3828270600 is an apocalyptic number.

3828270600 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 3828270600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8652362880).

3828270600 is an abundant number, since it is smaller than the sum of its proper divisors (13476455160).

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

3828270600 is a wasteful number, since it uses less digits than its factorization.

3828270600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3828270600 is about 61873.0199683190. The cubic root of 3828270600 is about 1564.3510189073.

Adding to 3828270600 its reverse (60728283), we get a palindrome (3888998883).

The spelling of 3828270600 in words is "three billion, eight hundred twenty-eight million, two hundred seventy thousand, six hundred".