3650840960 has 128 divisors (see below), whose sum is σ = 9529500960. Its totient is φ = 1329315840.

The previous prime is 3650840939. The next prime is 3650840969. The reversal of 3650840960 is 690480563.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3650840969) 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, 604355 + ... + 610365.

Almost surely, 2^3650840960 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 3650840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764750480).

3650840960 is an abundant number, since it is smaller than the sum of its proper divisors (5878660000).

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

3650840960 is a wasteful number, since it uses less digits than its factorization.

3650840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6116 (or 6104 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 3650840960 is about 60422.1893016134. The cubic root of 3650840960 is about 1539.7999627733.

The spelling of 3650840960 in words is "three billion, six hundred fifty million, eight hundred forty thousand, nine hundred sixty".