3424505772000 has 384 divisors, whose sum is σ = 11884416380928. Its totient is φ = 859063296000.

The previous prime is 3424505771989. The next prime is 3424505772001. The reversal of 3424505772000 is 2775054243.

It is a super-2 number, since 2×3424505772000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3424505772000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3424505772001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 779889805 + ... + 779894195.

It is an arithmetic number, because the mean of its divisors is an integer number (30949000992).

Almost surely, 2^{3424505772000} is an apocalyptic number.

3424505772000 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 3424505772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942208190464).

3424505772000 is an abundant number, since it is smaller than the sum of its proper divisors (8459910608928).

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

3424505772000 is a wasteful number, since it uses less digits than its factorization.

3424505772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 39.

The spelling of 3424505772000 in words is "three trillion, four hundred twenty-four billion, five hundred five million, seven hundred seventy-two thousand".