3795468600 has 192 divisors, whose sum is σ = 14669418240. Its totient is φ = 788659200.

The previous prime is 3795468581. The next prime is 3795468613. The reversal of 3795468600 is 68645973.

It is a self number, because there is not a number n which added to its sum of digits gives 3795468600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5124 + ... + 87276.

It is an arithmetic number, because the mean of its divisors is an integer number (76403220).

Almost surely, 2^3795468600 is an apocalyptic number.

3795468600 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 3795468600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7334709120).

3795468600 is an abundant number, since it is smaller than the sum of its proper divisors (10873949640).

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

3795468600 is a wasteful number, since it uses less digits than its factorization.

3795468600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82190 (or 82181 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 3795468600 is about 61607.3745585705. The cubic root of 3795468600 is about 1559.8702226031.

The spelling of 3795468600 in words is "three billion, seven hundred ninety-five million, four hundred sixty-eight thousand, six hundred".