3795255360 has 336 divisors, whose sum is σ = 14165738496. Its totient is φ = 927092736.

The previous prime is 3795255341. The next prime is 3795255397. The reversal of 3795255360 is 635525973.

It is a happy number.

3795255360 is a `hidden beast` number, since 3 + 7 + 95 + 2 + 553 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 6252177 + ... + 6252783.

It is an arithmetic number, because the mean of its divisors is an integer number (42159936).

Almost surely, 2^3795255360 is an apocalyptic number.

3795255360 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 3795255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082869248).

3795255360 is an abundant number, since it is smaller than the sum of its proper divisors (10370483136).

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

3795255360 is a wasteful number, since it uses less digits than its factorization.

3795255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The square root of 3795255360 is about 61605.6438972924. The cubic root of 3795255360 is about 1559.8410094377.

The spelling of 3795255360 in words is "three billion, seven hundred ninety-five million, two hundred fifty-five thousand, three hundred sixty".