3326952960 has 320 divisors, whose sum is σ = 11942092800. Its totient is φ = 877879296.

The previous prime is 3326952949. The next prime is 3326952971. The reversal of 3326952960 is 692596233.

3326952960 is a `hidden beast` number, since 3 + 3 + 2 + 69 + 529 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3326952949) and next prime (3326952971).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×3326952960² = 22137231996105523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8778051 + ... + 8778429.

It is an arithmetic number, because the mean of its divisors is an integer number (37319040).

Almost surely, 2^3326952960 is an apocalyptic number.

3326952960 is a gapful number since it is divisible by the number (30) 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 3326952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5971046400).

3326952960 is an abundant number, since it is smaller than the sum of its proper divisors (8615139840).

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

3326952960 is a wasteful number, since it uses less digits than its factorization.

3326952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3326952960 is about 57679.7447983259. The cubic root of 3326952960 is about 1492.8478722461.

The spelling of 3326952960 in words is "three billion, three hundred twenty-six million, nine hundred fifty-two thousand, nine hundred sixty".