3684476484 has 90 divisors (see below), whose sum is σ = 10430017290. Its totient is φ = 1133668224.

The previous prime is 3684476461. The next prime is 3684476491. The reversal of 3684476484 is 4846744863.

3684476484 is a `hidden beast` number, since 3 + 68 + 447 + 64 + 84 = 666.

3684476484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 217857600 + 3466618884 = 14760^2 + 58878^2 .

It is a super-2 number, since 2×3684476484² = 27150733922298004512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3684476484.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21112 + ... + 88400.

It is an arithmetic number, because the mean of its divisors is an integer number (115889081).

Almost surely, 2^3684476484 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 3684476484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215008645).

3684476484 is an abundant number, since it is smaller than the sum of its proper divisors (6745540806).

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

3684476484 is a wasteful number, since it uses less digits than its factorization.

3684476484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67331 (or 67307 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The square root of 3684476484 is about 60699.8886654663. Note that the first 3 decimals coincide. The cubic root of 3684476484 is about 1544.5142860023.

The spelling of 3684476484 in words is "three billion, six hundred eighty-four million, four hundred seventy-six thousand, four hundred eighty-four".