3643479984 has 80 divisors (see below), whose sum is σ = 10235425248. Its totient is φ = 1112150016.

The previous prime is 3643479977. The next prime is 3643480019. The reversal of 3643479984 is 4899743463.

3643479984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30147 + ... + 90530.

Almost surely, 2^3643479984 is an apocalyptic number.

3643479984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3643479984 is an abundant number, since it is smaller than the sum of its proper divisors (6591945264).

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

3643479984 is a wasteful number, since it uses less digits than its factorization.

3643479984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120742 (or 120736 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 57.

The square root of 3643479984 is about 60361.2457127916. The cubic root of 3643479984 is about 1538.7643970969.

It can be divided in two parts, 3643479 and 984, that added together give a palindrome (3644463).

The spelling of 3643479984 in words is "three billion, six hundred forty-three million, four hundred seventy-nine thousand, nine hundred eighty-four".