3300163157952 has 336 divisors, whose sum is σ = 9708879158784. Its totient is φ = 1071532800000.

The previous prime is 3300163157933. The next prime is 3300163157959. The reversal of 3300163157952 is 2597513610033.

3300163157952 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 1 + 631 + 5 + 7 + 9 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3300163157898 and 3300163157907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300163157959) 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, 939947877 + ... + 939951387.

Almost surely, 2^{3300163157952} is an apocalyptic number.

3300163157952 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 3300163157952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4854439579392).

3300163157952 is an abundant number, since it is smaller than the sum of its proper divisors (6408716000832).

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

3300163157952 is a wasteful number, since it uses less digits than its factorization.

3300163157952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

Adding to 3300163157952 its reverse (2597513610033), we get a palindrome (5897676767985).

The spelling of 3300163157952 in words is "three trillion, three hundred billion, one hundred sixty-three million, one hundred fifty-seven thousand, nine hundred fifty-two".