3358884960 has 288 divisors, whose sum is σ = 11731093920. Its totient is φ = 875003904.

The previous prime is 3358884959. The next prime is 3358884989. The reversal of 3358884960 is 694888533.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3358884960² = 22564216349028403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3358884897 and 3358884906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19415434 + ... + 19415606.

It is an arithmetic number, because the mean of its divisors is an integer number (40732965).

Almost surely, 2^3358884960 is an apocalyptic number.

3358884960 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 3358884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865546960).

3358884960 is an abundant number, since it is smaller than the sum of its proper divisors (8372208960).

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

3358884960 is a wasteful number, since it uses less digits than its factorization.

3358884960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 3358884960 is about 57955.8880528976. Note that the first 3 decimals coincide. The cubic root of 3358884960 is about 1497.6087767265.

The spelling of 3358884960 in words is "three billion, three hundred fifty-eight million, eight hundred eighty-four thousand, nine hundred sixty".