3684004416 has 147 divisors (see below), whose sum is σ = 10999800073. Its totient is φ = 1223631360.

The previous prime is 3684004409. The next prime is 3684004421. The reversal of 3684004416 is 6144004863.

The square root of 3684004416 is 60696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2489610816 + 1194393600 = 49896^2 + 34560^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 13110196 + ... + 13110476.

Almost surely, 2^3684004416 is an apocalyptic number.

3684004416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3684004416 is the 60696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3684004416

3684004416 is an abundant number, since it is smaller than the sum of its proper divisors (7315795657).

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

3684004416 is an frugal number, since it uses more digits than its factorization.

3684004416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 3684004416 is about 1544.4483203295.

Multiplying 3684004416 by its sum of digits (36), we get a square (132624158976 = 364176²).

3684004416 divided by its sum of digits (36) gives a square (102333456 = 10116²).

It can be divided in two parts, 368400 and 4416, that added together give a triangular number (372816 = T₈₆₃).

The spelling of 3684004416 in words is "three billion, six hundred eighty-four million, four thousand, four hundred sixteen".