3648685824 has 576 divisors, whose sum is σ = 13408640000. Its totient is φ = 987614208.

The previous prime is 3648685787. The next prime is 3648685829. The reversal of 3648685824 is 4285868463.

3648685824 is a `hidden beast` number, since 3 + 6 + 486 + 85 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648685829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192036087 + ... + 192036105.

Almost surely, 2^3648685824 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 3648685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704320000).

3648685824 is an abundant number, since it is smaller than the sum of its proper divisors (9759954176).

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

3648685824 is an frugal number, since it uses more digits than its factorization.

3648685824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 31 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 3648685824 is about 60404.3526908451. The cubic root of 3648685824 is about 1539.4969155610.

The spelling of 3648685824 in words is "three billion, six hundred forty-eight million, six hundred eighty-five thousand, eight hundred twenty-four".