3906953856 has 192 divisors, whose sum is σ = 12391098720. Its totient is φ = 1173989376.

The previous prime is 3906953833. The next prime is 3906953861. The reversal of 3906953856 is 6583596093.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640935 + ... + 647001.

Almost surely, 2^3906953856 is an apocalyptic number.

3906953856 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 3906953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195549360).

3906953856 is an abundant number, since it is smaller than the sum of its proper divisors (8484144864).

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

3906953856 is a wasteful number, since it uses less digits than its factorization.

3906953856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The square root of 3906953856 is about 62505.6305943713. The cubic root of 3906953856 is about 1574.9958990067.

The spelling of 3906953856 in words is "three billion, nine hundred six million, nine hundred fifty-three thousand, eight hundred fifty-six".