3644349636750 has 128 divisors (see below), whose sum is σ = 9127221143040. Its totient is φ = 968526720000.

The previous prime is 3644349636727. The next prime is 3644349636751. The reversal of 3644349636750 is 576369434463.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644349636751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 446552670 + ... + 446560830.

It is an arithmetic number, because the mean of its divisors is an integer number (71306415180).

Almost surely, 2^{3644349636750} is an apocalyptic number.

3644349636750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3644349636750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4563610571520).

3644349636750 is an abundant number, since it is smaller than the sum of its proper divisors (5482871506290).

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

3644349636750 is a wasteful number, since it uses less digits than its factorization.

3644349636750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10131 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 60.

The spelling of 3644349636750 in words is "three trillion, six hundred forty-four billion, three hundred forty-nine million, six hundred thirty-six thousand, seven hundred fifty".