3643233060540 has 192 divisors, whose sum is σ = 10632319488000. Its totient is φ = 931315968000.

The previous prime is 3643233060473. The next prime is 3643233060563. The reversal of 3643233060540 is 450603323463.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148697211 + ... + 148721709.

It is an arithmetic number, because the mean of its divisors is an integer number (55376664000).

Almost surely, 2^{3643233060540} is an apocalyptic number.

3643233060540 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 3643233060540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316159744000).

3643233060540 is an abundant number, since it is smaller than the sum of its proper divisors (6989086427460).

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

3643233060540 is a wasteful number, since it uses less digits than its factorization.

3643233060540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25604 (or 25602 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 39.

The spelling of 3643233060540 in words is "three trillion, six hundred forty-three billion, two hundred thirty-three million, sixty thousand, five hundred forty".