3424303651968 has 384 divisors, whose sum is σ = 10560735843840. Its totient is φ = 1103321088000.

The previous prime is 3424303651931. The next prime is 3424303651969. The reversal of 3424303651968 is 8691563034243.

3424303651968 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 30 + 36 + 519 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3424303651969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1158031546 + ... + 1158034502.

It is an arithmetic number, because the mean of its divisors is an integer number (27501916260).

Almost surely, 2^{3424303651968} 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 3424303651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280367921920).

3424303651968 is an abundant number, since it is smaller than the sum of its proper divisors (7136432191872).

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

3424303651968 is a wasteful number, since it uses less digits than its factorization.

3424303651968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3424303651968 in words is "three trillion, four hundred twenty-four billion, three hundred three million, six hundred fifty-one thousand, nine hundred sixty-eight".