3904582080 has 448 divisors, whose sum is σ = 15221468160. Its totient is φ = 828112896.

The previous prime is 3904582037. The next prime is 3904582093. The reversal of 3904582080 is 802854093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3904582080² = 30491522438914252800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6766752 + ... + 6767328.

Almost surely, 2^3904582080 is an apocalyptic number.

3904582080 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 3904582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610734080).

3904582080 is an abundant number, since it is smaller than the sum of its proper divisors (11316886080).

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

3904582080 is a wasteful number, since it uses less digits than its factorization.

3904582080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 3904582080 is about 62486.6552153338. The cubic root of 3904582080 is about 1574.6771260554.

The spelling of 3904582080 in words is "three billion, nine hundred four million, five hundred eighty-two thousand, eighty".