3645822625536 has 864 divisors, whose sum is σ = 12747213373440. Its totient is φ = 903212384256.

The previous prime is 3645822625513. The next prime is 3645822625537. The reversal of 3645822625536 is 6355262285463.

It is a happy number.

3645822625536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645822625537) 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, 2192315841 + ... + 2192317503.

Almost surely, 2^{3645822625536} 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 3645822625536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373606686720).

3645822625536 is an abundant number, since it is smaller than the sum of its proper divisors (9101390747904).

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

3645822625536 is a wasteful number, since it uses less digits than its factorization.

3645822625536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1834 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 57.

The spelling of 3645822625536 in words is "three trillion, six hundred forty-five billion, eight hundred twenty-two million, six hundred twenty-five thousand, five hundred thirty-six".