3845200896 has 352 divisors, whose sum is σ = 12327197760. Its totient is φ = 1194393600.

The previous prime is 3845200883. The next prime is 3845200901. The reversal of 3845200896 is 6980025483.

3845200896 is a `hidden beast` number, since 38 + 4 + 520 + 0 + 8 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38071246 + ... + 38071346.

Almost surely, 2^3845200896 is an apocalyptic number.

3845200896 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 3845200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163598880).

3845200896 is an abundant number, since it is smaller than the sum of its proper divisors (8481996864).

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

3845200896 is an equidigital number, since it uses as much as digits as its factorization.

3845200896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3845200896 is about 62009.6838888895. The cubic root of 3845200896 is about 1566.6537104306.

The spelling of 3845200896 in words is "three billion, eight hundred forty-five million, two hundred thousand, eight hundred ninety-six".