4008684880 has 20 divisors (see below), whose sum is σ = 9320192532. Its totient is φ = 1603473920.

The previous prime is 4008684863. The next prime is 4008684887. The reversal of 4008684880 is 884868004.

It can be written as a sum of positive squares in 2 ways, for example, as 1013530896 + 2995153984 = 31836^2 + 54728^2 .

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

It is a super-3 number, since 3×4008684880³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4008684880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4008684887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25054201 + ... + 25054360.

Almost surely, 2^4008684880 is an apocalyptic number.

4008684880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4008684880 is an abundant number, since it is smaller than the sum of its proper divisors (5311507652).

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

4008684880 is a wasteful number, since it uses less digits than its factorization.

4008684880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50108574 (or 50108568 counting only the distinct ones).

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

The square root of 4008684880 is about 63314.1759797914. The cubic root of 4008684880 is about 1588.5490871270.

The spelling of 4008684880 in words is "four billion, eight million, six hundred eighty-four thousand, eight hundred eighty".