3820305600 has 336 divisors, whose sum is σ = 14029578240. Its totient is φ = 1011225600.

The previous prime is 3820305581. The next prime is 3820305647. The reversal of 3820305600 is 65030283.

3820305600 is a `hidden beast` number, since 3 + 8 + 20 + 30 + 5 + 600 = 666.

3820305600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8250969 + ... + 8251431.

Almost surely, 2^3820305600 is an apocalyptic number.

3820305600 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 3820305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014789120).

3820305600 is an abundant number, since it is smaller than the sum of its proper divisors (10209272640).

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

3820305600 is a wasteful number, since it uses less digits than its factorization.

3820305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3820305600 is about 61808.6207579493. The cubic root of 3820305600 is about 1563.2653496390.

Adding to 3820305600 its reverse (65030283), we get a palindrome (3885335883).

The spelling of 3820305600 in words is "three billion, eight hundred twenty million, three hundred five thousand, six hundred".