3640045220448 has 768 divisors, whose sum is σ = 12671447040000. Its totient is φ = 906629842944.

The previous prime is 3640045220431. The next prime is 3640045220459. The reversal of 3640045220448 is 8440225400463.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 3960875733 + ... + 3960876651.

It is an arithmetic number, because the mean of its divisors is an integer number (16499280000).

Almost surely, 2^{3640045220448} is an apocalyptic number.

3640045220448 is a gapful number since it is divisible by the number (38) 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 3640045220448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335723520000).

3640045220448 is an abundant number, since it is smaller than the sum of its proper divisors (9031401819552).

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

3640045220448 is a wasteful number, since it uses less digits than its factorization.

3640045220448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 3640045220448 in words is "three trillion, six hundred forty billion, forty-five million, two hundred twenty thousand, four hundred forty-eight".