3667881984 has 104 divisors (see below), whose sum is σ = 10532577552. Its totient is φ = 1128529920.

The previous prime is 3667881953. The next prime is 3667882027. The reversal of 3667881984 is 4891887663.

It is a tau number, because it is divible by the number of its divisors (104).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148264 + ... + 171224.

Almost surely, 2^3667881984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3667881984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266288776).

3667881984 is an abundant number, since it is smaller than the sum of its proper divisors (6864695568).

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

3667881984 is a wasteful number, since it uses less digits than its factorization.

3667881984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23001 (or 22979 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The square root of 3667881984 is about 60563.0414031528. The cubic root of 3667881984 is about 1542.1920186958.

The spelling of 3667881984 in words is "three billion, six hundred sixty-seven million, eight hundred eighty-one thousand, nine hundred eighty-four".