3445717968 has 600 divisors, whose sum is σ = 12994904384. Its totient is φ = 862202880.

The previous prime is 3445717949. The next prime is 3445717993. The reversal of 3445717968 is 8697175443.

3445717968 is a `hidden beast` number, since 3 + 4 + 4 + 571 + 7 + 9 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 47201580 + ... + 47201652.

Almost surely, 2^3445717968 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 3445717968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497452192).

3445717968 is an abundant number, since it is smaller than the sum of its proper divisors (9549186416).

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

3445717968 is a wasteful number, since it uses less digits than its factorization.

3445717968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 3445717968 is about 58700.2382277960. The cubic root of 3445717968 is about 1510.4044014291.

It can be divided in two parts, 34457 and 17968, that added together give a palindrome (52425).

The spelling of 3445717968 in words is "three billion, four hundred forty-five million, seven hundred seventeen thousand, nine hundred sixty-eight".