3684109440 has 512 divisors, whose sum is σ = 14044078080. Its totient is φ = 811008000.

The previous prime is 3684109399. The next prime is 3684109441. The reversal of 3684109440 is 449014863.

It is a happy number.

It is a super-2 number, since 2×3684109440² = 27145324731794227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3684109441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11130075 + ... + 11130405.

It is an arithmetic number, because the mean of its divisors is an integer number (27429840).

Almost surely, 2^3684109440 is an apocalyptic number.

3684109440 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 3684109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022039040).

3684109440 is an abundant number, since it is smaller than the sum of its proper divisors (10359968640).

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

3684109440 is a wasteful number, since it uses less digits than its factorization.

3684109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 3684109440 is about 60696.8651579305. The cubic root of 3684109440 is about 1544.4629966238.

The spelling of 3684109440 in words is "three billion, six hundred eighty-four million, one hundred nine thousand, four hundred forty".