3828206415600 has 600 divisors, whose sum is σ = 16384569653760. Its totient is φ = 836973181440.

The previous prime is 3828206415589. The next prime is 3828206415601. The reversal of 3828206415600 is 65146028283.

3828206415600 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 20 + 6 + 4 + 15 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828206415601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4849461 + ... + 5583339.

Almost surely, 2^{3828206415600} is an apocalyptic number.

3828206415600 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 3828206415600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8192284826880).

3828206415600 is an abundant number, since it is smaller than the sum of its proper divisors (12556363238160).

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

3828206415600 is a wasteful number, since it uses less digits than its factorization.

3828206415600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733939 (or 733919 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3828206415600 in words is "three trillion, eight hundred twenty-eight billion, two hundred six million, four hundred fifteen thousand, six hundred".