3684313920 has 448 divisors, whose sum is σ = 13928140800. Its totient is φ = 824592384.

The previous prime is 3684313907. The next prime is 3684313931. The reversal of 3684313920 is 293134863.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3684313920² = 27148338122211532800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22061677 + ... + 22061843.

It is an arithmetic number, because the mean of its divisors is an integer number (31089600).

Almost surely, 2^3684313920 is an apocalyptic number.

3684313920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3684313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964070400).

3684313920 is an abundant number, since it is smaller than the sum of its proper divisors (10243826880).

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

3684313920 is a wasteful number, since it uses less digits than its factorization.

3684313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 3684313920 is about 60698.5495708094. The cubic root of 3684313920 is about 1544.4915703272.

The spelling of 3684313920 in words is "three billion, six hundred eighty-four million, three hundred thirteen thousand, nine hundred twenty".