3795886080 has 336 divisors, whose sum is σ = 15048244224. Its totient is φ = 867041280.

The previous prime is 3795886079. The next prime is 3795886093. The reversal of 3795886080 is 806885973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3795886080² = 28817502264675532800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2579745 + ... + 2581215.

Almost surely, 2^3795886080 is an apocalyptic number.

3795886080 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 3795886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524122112).

3795886080 is an abundant number, since it is smaller than the sum of its proper divisors (11252358144).

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

3795886080 is a wasteful number, since it uses less digits than its factorization.

3795886080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 3795886080 is about 61610.7626961394. The cubic root of 3795886080 is about 1559.9274127961.

The spelling of 3795886080 in words is "three billion, seven hundred ninety-five million, eight hundred eighty-six thousand, eighty".