3906004320 has 288 divisors, whose sum is σ = 14184162720. Its totient is φ = 975421440.

The previous prime is 3906004283. The next prime is 3906004327. The reversal of 3906004320 is 234006093.

3906004320 is a `hidden beast` number, since 39 + 0 + 600 + 4 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3906004327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9277710 + ... + 9278130.

It is an arithmetic number, because the mean of its divisors is an integer number (49250565).

Almost surely, 2^3906004320 is an apocalyptic number.

3906004320 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 3906004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092081360).

3906004320 is an abundant number, since it is smaller than the sum of its proper divisors (10278158400).

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

3906004320 is a wasteful number, since it uses less digits than its factorization.

3906004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3906004320 is about 62498.0345290954. The cubic root of 3906004320 is about 1574.8682943533.

The spelling of 3906004320 in words is "three billion, nine hundred six million, four thousand, three hundred twenty".