3323117952 has 192 divisors, whose sum is σ = 11922543360. Its totient is φ = 863124480.

The previous prime is 3323117933. The next prime is 3323117969. The reversal of 3323117952 is 2597113233.

It is a happy number.

3323117952 is a `hidden beast` number, since 332 + 311 + 7 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3323117952² = 22086225845809348608, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69973 + ... + 107435.

It is an arithmetic number, because the mean of its divisors is an integer number (62096580).

Almost surely, 2^3323117952 is an apocalyptic number.

3323117952 is a gapful number since it is divisible by the number (32) 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 3323117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961271680).

3323117952 is an abundant number, since it is smaller than the sum of its proper divisors (8599425408).

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

3323117952 is a wasteful number, since it uses less digits than its factorization.

3323117952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37501 (or 37486 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 3323117952 is about 57646.4912375419. The cubic root of 3323117952 is about 1492.2740454045.

The spelling of 3323117952 in words is "three billion, three hundred twenty-three million, one hundred seventeen thousand, nine hundred fifty-two".