3689340928 has 224 divisors, whose sum is σ = 9357969600. Its totient is φ = 1445068800.

The previous prime is 3689340923. The next prime is 3689340973. The reversal of 3689340928 is 8290439863.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×3689340928³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689340923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36528078 + ... + 36528178.

It is an arithmetic number, because the mean of its divisors is an integer number (41776650).

Almost surely, 2^3689340928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3689340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678984800).

3689340928 is an abundant number, since it is smaller than the sum of its proper divisors (5668628672).

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

3689340928 is an equidigital number, since it uses as much as digits as its factorization.

3689340928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The square root of 3689340928 is about 60739.9450773542. The cubic root of 3689340928 is about 1545.1937040293.

The spelling of 3689340928 in words is "three billion, six hundred eighty-nine million, three hundred forty thousand, nine hundred twenty-eight".