3795634080 has 720 divisors, whose sum is σ = 16059526560. Its totient is φ = 841300992.

The previous prime is 3795634067. The next prime is 3795634091. The reversal of 3795634080 is 804365973.

3795634080 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 634 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 27306651 + ... + 27306789.

It is an arithmetic number, because the mean of its divisors is an integer number (22304898).

Almost surely, 2^3795634080 is an apocalyptic number.

3795634080 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 3795634080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8029763280).

3795634080 is an abundant number, since it is smaller than the sum of its proper divisors (12263892480).

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

3795634080 is a wasteful number, since it uses less digits than its factorization.

3795634080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3795634080 is about 61608.7175649680. The cubic root of 3795634080 is about 1559.8928920545.

The spelling of 3795634080 in words is "three billion, seven hundred ninety-five million, six hundred thirty-four thousand, eighty".