3319668000 has 576 divisors, whose sum is σ = 13136183424. Its totient is φ = 787200000.

The previous prime is 3319667959. The next prime is 3319668017. The reversal of 3319668000 is 8669133.

It is a happy number.

It is a super-3 number, since 3×3319668000³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32867950 + ... + 32868050.

It is an arithmetic number, because the mean of its divisors is an integer number (22805874).

Almost surely, 2^3319668000 is an apocalyptic number.

3319668000 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 3319668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568091712).

3319668000 is an abundant number, since it is smaller than the sum of its proper divisors (9816515424).

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

3319668000 is a wasteful number, since it uses less digits than its factorization.

3319668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3319668000 is about 57616.5601194657. The cubic root of 3319668000 is about 1491.7574566145.

The spelling of 3319668000 in words is "three billion, three hundred nineteen million, six hundred sixty-eight thousand".