3795753060 has 216 divisors, whose sum is σ = 12867619128. Its totient is φ = 904780800.

The previous prime is 3795753029. The next prime is 3795753067. The reversal of 3795753060 is 603575973.

3795753060 is a `hidden beast` number, since 3 + 7 + 9 + 57 + 530 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44435556 + 3751317504 = 6666^2 + 61248^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3795752997 and 3795753015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3795753067) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1327152 + ... + 1330008.

Almost surely, 2^3795753060 is an apocalyptic number.

3795753060 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 3795753060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433809564).

3795753060 is an abundant number, since it is smaller than the sum of its proper divisors (9071866068).

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

3795753060 is a wasteful number, since it uses less digits than its factorization.

3795753060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 45.

The square root of 3795753060 is about 61609.6831675022. The cubic root of 3795753060 is about 1559.9091909665.

The spelling of 3795753060 in words is "three billion, seven hundred ninety-five million, seven hundred fifty-three thousand, sixty".