3906105120 has 480 divisors, whose sum is σ = 15038654400. Its totient is φ = 951035904.

The previous prime is 3906105109. The next prime is 3906105167. The reversal of 3906105120 is 215016093.

3906105120 is a `hidden beast` number, since 3 + 90 + 61 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7140687 + ... + 7141233.

It is an arithmetic number, because the mean of its divisors is an integer number (31330530).

Almost surely, 2^3906105120 is an apocalyptic number.

3906105120 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 3906105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519327200).

3906105120 is an abundant number, since it is smaller than the sum of its proper divisors (11132549280).

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

3906105120 is a wasteful number, since it uses less digits than its factorization.

3906105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 3906105120 is about 62498.8409492528. The cubic root of 3906105120 is about 1574.8818414760.

The spelling of 3906105120 in words is "three billion, nine hundred six million, one hundred five thousand, one hundred twenty".