4006884880 has 20 divisors (see below), whose sum is σ = 9316007532. Its totient is φ = 1602753920.

The previous prime is 4006884841. The next prime is 4006884899. The reversal of 4006884880 is 884886004.

It can be written as a sum of positive squares in 2 ways, for example, as 1485639936 + 2521244944 = 38544^2 + 50212^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×4006884880² = 32110252883145228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4006884880.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25042951 + ... + 25043110.

Almost surely, 2^4006884880 is an apocalyptic number.

4006884880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006884880 is an abundant number, since it is smaller than the sum of its proper divisors (5309122652).

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

4006884880 is a wasteful number, since it uses less digits than its factorization.

4006884880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50086074 (or 50086068 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The square root of 4006884880 is about 63299.9595576490. The cubic root of 4006884880 is about 1588.3112854100.

The spelling of 4006884880 in words is "four billion, six million, eight hundred eighty-four thousand, eight hundred eighty".