3906165600 has 288 divisors, whose sum is σ = 14215652640. Its totient is φ = 1035141120.

The previous prime is 3906165587. The next prime is 3906165611. The reversal of 3906165600 is 65616093.

3906165600 is a `hidden beast` number, since 3 + 90 + 6 + 1 + 6 + 560 + 0 = 666.

3906165600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 4168332 + ... + 4169268.

It is an arithmetic number, because the mean of its divisors is an integer number (49359905).

Almost surely, 2^3906165600 is an apocalyptic number.

3906165600 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 3906165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7107826320).

3906165600 is an abundant number, since it is smaller than the sum of its proper divisors (10309487040).

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

3906165600 is a wasteful number, since it uses less digits than its factorization.

3906165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3906165600 is about 62499.3247963528. The cubic root of 3906165600 is about 1574.8899696377.

The spelling of 3906165600 in words is "three billion, nine hundred six million, one hundred sixty-five thousand, six hundred".