3689673120 has 336 divisors, whose sum is σ = 14939648640. Its totient is φ = 843167232.

The previous prime is 3689673073. The next prime is 3689673223. The reversal of 3689673120 is 213769863.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3689673120² = 27227375464901068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 814221 + ... + 818739.

It is an arithmetic number, because the mean of its divisors is an integer number (44463240).

Almost surely, 2^3689673120 is an apocalyptic number.

3689673120 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 3689673120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469824320).

3689673120 is an abundant number, since it is smaller than the sum of its proper divisors (11249975520).

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

3689673120 is an equidigital number, since it uses as much as digits as its factorization.

3689673120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3689673120 is about 60742.6795589394. The cubic root of 3689673120 is about 1545.2400795737.

The spelling of 3689673120 in words is "three billion, six hundred eighty-nine million, six hundred seventy-three thousand, one hundred twenty".