3904805383200 has 1152 divisors, whose sum is σ = 15345817804800. Its totient is φ = 955076935680.

The previous prime is 3904805383159. The next prime is 3904805383229. The reversal of 3904805383200 is 23835084093.

3904805383200 is a `hidden beast` number, since 3 + 9 + 0 + 4 + 80 + 538 + 32 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1871012557 + ... + 1871014643.

It is an arithmetic number, because the mean of its divisors is an integer number (13321022400).

Almost surely, 2^{3904805383200} is an apocalyptic number.

3904805383200 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 3904805383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672908902400).

3904805383200 is an abundant number, since it is smaller than the sum of its proper divisors (11441012421600).

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

3904805383200 is a wasteful number, since it uses less digits than its factorization.

3904805383200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3904805383200 in words is "three trillion, nine hundred four billion, eight hundred five million, three hundred eighty-three thousand, two hundred".