3653685984 has 96 divisors (see below), whose sum is σ = 10351152000. Its totient is φ = 1121766912.

The previous prime is 3653685983. The next prime is 3653686007. The reversal of 3653685984 is 4895863563.

It is a happy number.

3653685984 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 a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3653685983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619819 + ... + 625685.

It is an arithmetic number, because the mean of its divisors is an integer number (107824500).

Almost surely, 2^3653685984 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 3653685984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175576000).

3653685984 is an abundant number, since it is smaller than the sum of its proper divisors (6697466016).

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

3653685984 is a wasteful number, since it uses less digits than its factorization.

3653685984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6384 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 57.

The square root of 3653685984 is about 60445.7275909555. The cubic root of 3653685984 is about 1540.1998368884.

The spelling of 3653685984 in words is "three billion, six hundred fifty-three million, six hundred eighty-five thousand, nine hundred eighty-four".