3223630541040 has 640 divisors, whose sum is σ = 12489019318272. Its totient is φ = 669696491520.

The previous prime is 3223630541017. The next prime is 3223630541063. The reversal of 3223630541040 is 401450363223.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3223630541017) and next prime (3223630541063).

It is a junction number, because it is equal to n+sod(n) for n = 3223630540992 and 3223630541010.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1206898905 + ... + 1206901575.

Almost surely, 2^{3223630541040} is an apocalyptic number.

3223630541040 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 3223630541040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244509659136).

3223630541040 is an abundant number, since it is smaller than the sum of its proper divisors (9265388777232).

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

3223630541040 is a wasteful number, since it uses less digits than its factorization.

3223630541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 3223630541040 in words is "three trillion, two hundred twenty-three billion, six hundred thirty million, five hundred forty-one thousand, forty".