3906705600 has 336 divisors, whose sum is σ = 16277132800. Its totient is φ = 892892160.

The previous prime is 3906705599. The next prime is 3906705611. The reversal of 3906705600 is 65076093.

It is a happy number.

3906705600 is a `hidden beast` number, since 3 + 90 + 6 + 7 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295941 + ... + 308859.

Almost surely, 2^3906705600 is an apocalyptic number.

3906705600 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 3906705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138566400).

3906705600 is an abundant number, since it is smaller than the sum of its proper divisors (12370427200).

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

3906705600 is a wasteful number, since it uses less digits than its factorization.

3906705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12957 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3906705600 is about 62503.6446937297. The cubic root of 3906705600 is about 1574.9625387915.

The spelling of 3906705600 in words is "three billion, nine hundred six million, seven hundred five thousand, six hundred".