3352584960 has 648 divisors, whose sum is σ = 13215318480. Its totient is φ = 782106624.

The previous prime is 3352584959. The next prime is 3352584971. The reversal of 3352584960 is 694852533.

3352584960 is a `hidden beast` number, since 3 + 3 + 5 + 2 + 584 + 9 + 60 = 666.

It is a super-2 number, since 2×3352584960² = 22479651828036403200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63256294 + ... + 63256346.

It is an arithmetic number, because the mean of its divisors is an integer number (20394010).

Almost surely, 2^3352584960 is an apocalyptic number.

3352584960 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 3352584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607659240).

3352584960 is an abundant number, since it is smaller than the sum of its proper divisors (9862733520).

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

3352584960 is a wasteful number, since it uses less digits than its factorization.

3352584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3352584960 is about 57901.5108611166. The cubic root of 3352584960 is about 1496.6718745151.

The spelling of 3352584960 in words is "three billion, three hundred fifty-two million, five hundred eighty-four thousand, nine hundred sixty".