3002335956252 has 288 divisors, whose sum is σ = 8466766963200. Its totient is φ = 892748888064.

The previous prime is 3002335956223. The next prime is 3002335956289. The reversal of 3002335956252 is 2526595332003.

3002335956252 is a `hidden beast` number, since 3 + 0 + 0 + 2 + 3 + 3 + 595 + 6 + 2 + 52 = 666.

It is a super-2 number, since 2×3002335956252² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3002335956198 and 3002335956207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 326229883 + ... + 326239085.

It is an arithmetic number, because the mean of its divisors is an integer number (29398496400).

Almost surely, 2^{3002335956252} 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 3002335956252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233383481600).

3002335956252 is an abundant number, since it is smaller than the sum of its proper divisors (5464431006948).

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

3002335956252 is a wasteful number, since it uses less digits than its factorization.

3002335956252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9577 (or 9572 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The spelling of 3002335956252 in words is "three trillion, two billion, three hundred thirty-five million, nine hundred fifty-six thousand, two hundred fifty-two".