3689541984 has 48 divisors (see below), whose sum is σ = 9699238080. Its totient is φ = 1228045440.

The previous prime is 3689541949. The next prime is 3689542009. The reversal of 3689541984 is 4891459863.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3689541984² = 27225440103397312512, which contains 22 as substring.

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, 38527 + ... + 94145.

It is an arithmetic number, because the mean of its divisors is an integer number (202067460).

Almost surely, 2^3689541984 is an apocalyptic number.

It is an amenable number.

3689541984 is an abundant number, since it is smaller than the sum of its proper divisors (6009696096).

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

3689541984 is a wasteful number, since it uses less digits than its factorization.

3689541984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56323 (or 56315 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The square root of 3689541984 is about 60741.6001106326. The cubic root of 3689541984 is about 1545.2217727122.

The spelling of 3689541984 in words is "three billion, six hundred eighty-nine million, five hundred forty-one thousand, nine hundred eighty-four".