3629884896 has 72 divisors (see below), whose sum is σ = 11260902744. Its totient is φ = 1099964160.

The previous prime is 3629884879. The next prime is 3629884901. The reversal of 3629884896 is 6984889263.

3629884896 is a `hidden beast` number, since 3 + 62 + 98 + 8 + 489 + 6 = 666.

3629884896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569731 + ... + 576066.

It is an arithmetic number, because the mean of its divisors is an integer number (156401427).

Almost surely, 2^3629884896 is an apocalyptic number.

3629884896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3629884896 is an abundant number, since it is smaller than the sum of its proper divisors (7631017848).

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

3629884896 is a wasteful number, since it uses less digits than its factorization.

3629884896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145824 (or 1145813 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The square root of 3629884896 is about 60248.5260898555. The cubic root of 3629884896 is about 1536.8481237329.

The spelling of 3629884896 in words is "three billion, six hundred twenty-nine million, eight hundred eighty-four thousand, eight hundred ninety-six".