3683691648 has 768 divisors, whose sum is σ = 14514681600. Its totient is φ = 897122304.

The previous prime is 3683691647. The next prime is 3683691673. The reversal of 3683691648 is 8461963863.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3683691594 and 3683691603.

It is not an unprimeable number, because it can be changed into a prime (3683691647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69503590 + ... + 69503642.

It is an arithmetic number, because the mean of its divisors is an integer number (18899325).

Almost surely, 2^3683691648 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 3683691648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257340800).

3683691648 is an abundant number, since it is smaller than the sum of its proper divisors (10830989952).

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

3683691648 is a wasteful number, since it uses less digits than its factorization.

3683691648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3683691648 is about 60693.4234328564. The cubic root of 3683691648 is about 1544.4046117605.

The spelling of 3683691648 in words is "three billion, six hundred eighty-three million, six hundred ninety-one thousand, six hundred forty-eight".