3650330880 has 576 divisors, whose sum is σ = 15070003200. Its totient is φ = 819486720.

The previous prime is 3650330843. The next prime is 3650330921. The reversal of 3650330880 is 880330563.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19111585 + ... + 19111775.

It is an arithmetic number, because the mean of its divisors is an integer number (26163200).

Almost surely, 2^3650330880 is an apocalyptic number.

3650330880 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 3650330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535001600).

3650330880 is an abundant number, since it is smaller than the sum of its proper divisors (11419672320).

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

3650330880 is a wasteful number, since it uses less digits than its factorization.

3650330880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3650330880 is about 60417.9681882799. The cubic root of 3650330880 is about 1539.7282479953.

The spelling of 3650330880 in words is "three billion, six hundred fifty million, three hundred thirty thousand, eight hundred eighty".