3319597633968 has 480 divisors, whose sum is σ = 11938775726592. Its totient is φ = 836017459200.

The previous prime is 3319597633903. The next prime is 3319597633987. The reversal of 3319597633968 is 8693367959133.

It is a happy number.

3319597633968 is a `hidden beast` number, since 3 + 3 + 1 + 95 + 97 + 63 + 396 + 8 = 666.

It is a super-2 number, since 2×3319597633968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3319597633896 and 3319597633905.

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 95 ways as a sum of consecutive naturals, for example, 65293998 + ... + 65344818.

Almost surely, 2^{3319597633968} 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 3319597633968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969387863296).

3319597633968 is an abundant number, since it is smaller than the sum of its proper divisors (8619178092624).

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

3319597633968 is a wasteful number, since it uses less digits than its factorization.

3319597633968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51033 (or 51024 counting only the distinct ones).

The product of its digits is 595213920, while the sum is 72.

The spelling of 3319597633968 in words is "three trillion, three hundred nineteen billion, five hundred ninety-seven million, six hundred thirty-three thousand, nine hundred sixty-eight".