3355832480 has 384 divisors, whose sum is σ = 11119804416. Its totient is φ = 922521600.

The previous prime is 3355832479. The next prime is 3355832483. The reversal of 3355832480 is 842385533.

It is a super-2 number, since 2×3355832480² = 22523223267645900800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3355832483) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3683225 + ... + 3684135.

It is an arithmetic number, because the mean of its divisors is an integer number (28957824).

Almost surely, 2^3355832480 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 3355832480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559902208).

3355832480 is an abundant number, since it is smaller than the sum of its proper divisors (7763971936).

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

3355832480 is a wasteful number, since it uses less digits than its factorization.

3355832480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The square root of 3355832480 is about 57929.5475556300. The cubic root of 3355832480 is about 1497.1549747064.

The spelling of 3355832480 in words is "three billion, three hundred fifty-five million, eight hundred thirty-two thousand, four hundred eighty".