3644427644928 has 520 divisors, whose sum is σ = 13097254353920. Its totient is φ = 986449674240.

The previous prime is 3644427644861. The next prime is 3644427644953. The reversal of 3644427644928 is 8294467244463.

3644427644928 is a `hidden beast` number, since 3 + 6 + 44 + 42 + 7 + 64 + 492 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44084913 + ... + 44167503.

Almost surely, 2^{3644427644928} is an apocalyptic number.

3644427644928 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 3644427644928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6548627176960).

3644427644928 is an abundant number, since it is smaller than the sum of its proper divisors (9452826708992).

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

3644427644928 is an equidigital number, since it uses as much as digits as its factorization.

3644427644928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82653 (or 82622 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 63.

The spelling of 3644427644928 in words is "three trillion, six hundred forty-four billion, four hundred twenty-seven million, six hundred forty-four thousand, nine hundred twenty-eight".