3684141600 has 144 divisors (see below), whose sum is σ = 12011731200. Its totient is φ = 980812800.

The previous prime is 3684141523. The next prime is 3684141607. The reversal of 3684141600 is 61414863.

It is not an unprimeable number, because it can be changed into a prime (3684141607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2377626 + ... + 2379174.

It is an arithmetic number, because the mean of its divisors is an integer number (83414800).

Almost surely, 2^3684141600 is an apocalyptic number.

3684141600 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 3684141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005865600).

3684141600 is an abundant number, since it is smaller than the sum of its proper divisors (8327589600).

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

3684141600 is a wasteful number, since it uses less digits than its factorization.

3684141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3684141600 is about 60697.1300804247. The cubic root of 3684141600 is about 1544.4674906801.

The spelling of 3684141600 in words is "three billion, six hundred eighty-four million, one hundred forty-one thousand, six hundred".