3623141002000 has 160 divisors (see below), whose sum is σ = 9444791682144. Its totient is φ = 1336338432000.

The previous prime is 3623141001919. The next prime is 3623141002043. The reversal of 3623141002000 is 2001413263.

It can be written as a sum of positive squares in 16 ways, for example, as 3524765934096 + 98375067904 = 1877436^2 + 313648^2 .

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, 24287640 + ... + 24436360.

Almost surely, 2^{3623141002000} 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 3623141002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722395841072).

3623141002000 is an abundant number, since it is smaller than the sum of its proper divisors (5821650680144).

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

3623141002000 is a wasteful number, since it uses less digits than its factorization.

3623141002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149694 (or 149678 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3623141002000 its reverse (2001413263), we get a palindrome (3625142415263).

The spelling of 3623141002000 in words is "three trillion, six hundred twenty-three billion, one hundred forty-one million, two thousand".