3641023027400 has 144 divisors (see below), whose sum is σ = 9306697822800. Its totient is φ = 1323755452800.

The previous prime is 3641023027387. The next prime is 3641023027417. The reversal of 3641023027400 is 47203201463.

It is a super-2 number, since 2×3641023027400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166557671 + ... + 166579529.

Almost surely, 2^{3641023027400} 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 3641023027400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653348911400).

3641023027400 is an abundant number, since it is smaller than the sum of its proper divisors (5665674795400).

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

3641023027400 is a wasteful number, since it uses less digits than its factorization.

3641023027400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28780 (or 28760 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

Adding to 3641023027400 its reverse (47203201463), we get a palindrome (3688226228863).

The spelling of 3641023027400 in words is "three trillion, six hundred forty-one billion, twenty-three million, twenty-seven thousand, four hundred".