3650581544960 has 960 divisors, whose sum is σ = 11295964512000. Its totient is φ = 1103471050752.

The previous prime is 3650581544957. The next prime is 3650581545007. The reversal of 3650581544960 is 694451850563.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 3650581544896 and 3650581544905.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 10460118866 + ... + 10460119214.

It is an arithmetic number, because the mean of its divisors is an integer number (11766629700).

Almost surely, 2^{3650581544960} 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 3650581544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647982256000).

3650581544960 is an abundant number, since it is smaller than the sum of its proper divisors (7645382967040).

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

3650581544960 is a wasteful number, since it uses less digits than its factorization.

3650581544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 56.

The spelling of 3650581544960 in words is "three trillion, six hundred fifty billion, five hundred eighty-one million, five hundred forty-four thousand, nine hundred sixty".