3352165500288 has 256 divisors, whose sum is σ = 9951244554240. Its totient is φ = 991018076160.

The previous prime is 3352165500263. The next prime is 3352165500337. The reversal of 3352165500288 is 8820055612533.

It is a super-2 number, since 2×3352165500288² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161097181 + ... + 161117987.

It is an arithmetic number, because the mean of its divisors is an integer number (38872049040).

Almost surely, 2^{3352165500288} 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 3352165500288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975622277120).

3352165500288 is an abundant number, since it is smaller than the sum of its proper divisors (6599079053952).

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

3352165500288 is a wasteful number, since it uses less digits than its factorization.

3352165500288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21765 (or 21753 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 3352165500288 in words is "three trillion, three hundred fifty-two billion, one hundred sixty-five million, five hundred thousand, two hundred eighty-eight".