3644456301120 has 224 divisors, whose sum is σ = 11673133839360. Its totient is φ = 963311892480.

The previous prime is 3644456301119. The next prime is 3644456301121. The reversal of 3644456301120 is 211036544463.

It is an interprime number because it is at equal distance from previous prime (3644456301119) and next prime (3644456301121).

It is a super-2 number, since 2×3644456301120² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3644456301121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84178999 + ... + 84222281.

It is an arithmetic number, because the mean of its divisors is an integer number (52112204640).

Almost surely, 2^{3644456301120} is an apocalyptic number.

3644456301120 is a gapful number since it is divisible by the number (30) 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 3644456301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836566919680).

3644456301120 is an abundant number, since it is smaller than the sum of its proper divisors (8028677538240).

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

3644456301120 is a wasteful number, since it uses less digits than its factorization.

3644456301120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44073 (or 44063 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 3644456301120 in words is "three trillion, six hundred forty-four billion, four hundred fifty-six million, three hundred one thousand, one hundred twenty".