3643213872144 has 160 divisors (see below), whose sum is σ = 11749789108224. Its totient is φ = 945014999040.

The previous prime is 3643213872121. The next prime is 3643213872163. The reversal of 3643213872144 is 4412783123463.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 3643213872093 and 3643213872102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2082792 + ... + 3409464.

Almost surely, 2^{3643213872144} 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 3643213872144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874894554112).

3643213872144 is an abundant number, since it is smaller than the sum of its proper divisors (8106575236080).

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

3643213872144 is a wasteful number, since it uses less digits than its factorization.

3643213872144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327445 (or 1327439 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 48.

The spelling of 3643213872144 in words is "three trillion, six hundred forty-three billion, two hundred thirteen million, eight hundred seventy-two thousand, one hundred forty-four".