3906084000 has 768 divisors, whose sum is σ = 16290892800. Its totient is φ = 812851200.

The previous prime is 3906083971. The next prime is 3906084053. The reversal of 3906084000 is 4806093.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53507964 + ... + 53508036.

It is an arithmetic number, because the mean of its divisors is an integer number (21212100).

Almost surely, 2^3906084000 is an apocalyptic number.

3906084000 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 3906084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8145446400).

3906084000 is an abundant number, since it is smaller than the sum of its proper divisors (12384808800).

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

3906084000 is a wasteful number, since it uses less digits than its factorization.

3906084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3906084000 is about 62498.6719858910. The cubic root of 3906084000 is about 1574.8790030505.

The spelling of 3906084000 in words is "three billion, nine hundred six million, eighty-four thousand".