3310724420640 has 1152 divisors, whose sum is σ = 14258881308672. Its totient is φ = 680875130880.

The previous prime is 3310724420617. The next prime is 3310724420657. The reversal of 3310724420640 is 460244270133.

3310724420640 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 7 + 2 + 4 + 4 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3310724420595 and 3310724420604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1730644324 + ... + 1730646236.

It is an arithmetic number, because the mean of its divisors is an integer number (12377501136).

Almost surely, 2^{3310724420640} is an apocalyptic number.

3310724420640 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 3310724420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7129440654336).

3310724420640 is an abundant number, since it is smaller than the sum of its proper divisors (10948156888032).

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

3310724420640 is a wasteful number, since it uses less digits than its factorization.

3310724420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 3310724420640 its reverse (460244270133), we get a palindrome (3770968690773).

The spelling of 3310724420640 in words is "three trillion, three hundred ten billion, seven hundred twenty-four million, four hundred twenty thousand, six hundred forty".