3684046080 has 288 divisors, whose sum is σ = 13824961920. Its totient is φ = 824279040.

The previous prime is 3684046063. The next prime is 3684046123. The reversal of 3684046080 is 806404863.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545766 + ... + 552474.

It is an arithmetic number, because the mean of its divisors is an integer number (48003340).

Almost surely, 2^3684046080 is an apocalyptic number.

3684046080 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 3684046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912480960).

3684046080 is an abundant number, since it is smaller than the sum of its proper divisors (10140915840).

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

3684046080 is a wasteful number, since it uses less digits than its factorization.

3684046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 3684046080 is about 60696.3432176931. The cubic root of 3684046080 is about 1544.4541425857.

The spelling of 3684046080 in words is "three billion, six hundred eighty-four million, forty-six thousand, eighty".