3644497800000 has 420 divisors, whose sum is σ = 13503487244940. Its totient is φ = 971861760000.

The previous prime is 3644497799989. The next prime is 3644497800007. The reversal of 3644497800000 is 87944463.

It can be written as a sum of positive squares in 6 ways, for example, as 3315866186304 + 328631613696 = 1820952^2 + 573264^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644497800007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16087516 + ... + 16312484.

It is an arithmetic number, because the mean of its divisors is an integer number (32151160107).

Almost surely, 2^{3644497800000} is an apocalyptic number.

3644497800000 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 3644497800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751743622470).

3644497800000 is an abundant number, since it is smaller than the sum of its proper divisors (9858989444940).

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

3644497800000 is an frugal number, since it uses more digits than its factorization.

3644497800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225018 (or 224979 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3644497800000 in words is "three trillion, six hundred forty-four billion, four hundred ninety-seven million, eight hundred thousand".