3684661248 has 96 divisors (see below), whose sum is σ = 9971095680. Its totient is φ = 1209753600.

The previous prime is 3684661223. The next prime is 3684661261. The reversal of 3684661248 is 8421664863.

3684661248 is digitally balanced in base 2, because in such base 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 Harshad number since it is a multiple of its sum of digits (48).

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 = 3684661197 and 3684661206.

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, 407173 + ... + 416123.

It is an arithmetic number, because the mean of its divisors is an integer number (103865580).

Almost surely, 2^3684661248 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 3684661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985547840).

3684661248 is an abundant number, since it is smaller than the sum of its proper divisors (6286434432).

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

3684661248 is an equidigital number, since it uses as much as digits as its factorization.

3684661248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9043 (or 9023 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 3684661248 is about 60701.4105931650. The cubic root of 3684661248 is about 1544.5401029552.

The spelling of 3684661248 in words is "three billion, six hundred eighty-four million, six hundred sixty-one thousand, two hundred forty-eight".