3644185051136 has 272 divisors, whose sum is σ = 8610269995008. Its totient is φ = 1510028083200.

The previous prime is 3644185051069. The next prime is 3644185051249. The reversal of 3644185051136 is 6311505814463.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1726282721 + ... + 1726284831.

Almost surely, 2^{3644185051136} 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 3644185051136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305134997504).

3644185051136 is an abundant number, since it is smaller than the sum of its proper divisors (4966084943872).

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

3644185051136 is an frugal number, since it uses more digits than its factorization.

3644185051136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 3644185051136 in words is "three trillion, six hundred forty-four billion, one hundred eighty-five million, fifty-one thousand, one hundred thirty-six".