3650984064 has 768 divisors, whose sum is σ = 14335488000. Its totient is φ = 892809216.

The previous prime is 3650984063. The next prime is 3650984069. The reversal of 3650984064 is 4604890563.

3650984064 is a `hidden beast` number, since 3 + 6 + 509 + 84 + 0 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (3650984063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77680489 + ... + 77680535.

It is an arithmetic number, because the mean of its divisors is an integer number (18666000).

Almost surely, 2^3650984064 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 3650984064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7167744000).

3650984064 is an abundant number, since it is smaller than the sum of its proper divisors (10684503936).

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

3650984064 is a wasteful number, since it uses less digits than its factorization.

3650984064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3650984064 is about 60423.3734907279. The cubic root of 3650984064 is about 1539.8200813028.

The spelling of 3650984064 in words is "three billion, six hundred fifty million, nine hundred eighty-four thousand, sixty-four".