3906616896 has 168 divisors, whose sum is σ = 13781861184. Its totient is φ = 1030302720.

The previous prime is 3906616873. The next prime is 3906616921. The reversal of 3906616896 is 6986166093.

3906616896 is a `hidden beast` number, since 390 + 6 + 6 + 168 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3906616896² = 30523311144225349632, which contains 22 as substring.

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, 15151 + ... + 89681.

It is an arithmetic number, because the mean of its divisors is an integer number (82034888).

Almost surely, 2^3906616896 is an apocalyptic number.

3906616896 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 3906616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6890930592).

3906616896 is an abundant number, since it is smaller than the sum of its proper divisors (9875244288).

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

3906616896 is a wasteful number, since it uses less digits than its factorization.

3906616896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74569 (or 74556 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 3906616896 is about 62502.9350990815. The cubic root of 3906616896 is about 1574.9506185576.

The spelling of 3906616896 in words is "three billion, nine hundred six million, six hundred sixteen thousand, eight hundred ninety-six".