3795330240 has 672 divisors, whose sum is σ = 15277429440. Its totient is φ = 856424448.

The previous prime is 3795330239. The next prime is 3795330281. The reversal of 3795330240 is 420335973.

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

It is a junction number, because it is equal to n+sod(n) for n = 3795330195 and 3795330204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42644116 + ... + 42644204.

It is an arithmetic number, because the mean of its divisors is an integer number (22734270).

Almost surely, 2^3795330240 is an apocalyptic number.

3795330240 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 3795330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7638714720).

3795330240 is an abundant number, since it is smaller than the sum of its proper divisors (11482099200).

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

3795330240 is a wasteful number, since it uses less digits than its factorization.

3795330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3795330240 is about 61606.2516308207. The cubic root of 3795330240 is about 1559.8512678714.

The spelling of 3795330240 in words is "three billion, seven hundred ninety-five million, three hundred thirty thousand, two hundred forty".