3795960168 has 384 divisors, whose sum is σ = 14257152000. Its totient is φ = 880243200.

The previous prime is 3795960139. The next prime is 3795960197. The reversal of 3795960168 is 8610695973.

3795960168 is a `hidden beast` number, since 37 + 9 + 596 + 0 + 16 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3795960139) and next prime (3795960197).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2233383 + ... + 2235081.

It is an arithmetic number, because the mean of its divisors is an integer number (37128000).

Almost surely, 2^3795960168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3795960168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128576000).

3795960168 is an abundant number, since it is smaller than the sum of its proper divisors (10461191832).

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

3795960168 is a wasteful number, since it uses less digits than its factorization.

3795960168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 3795960168 is about 61611.3639517906. The cubic root of 3795960168 is about 1559.9375616035.

The spelling of 3795960168 in words is "three billion, seven hundred ninety-five million, nine hundred sixty thousand, one hundred sixty-eight".