3368960000 has 300 divisors, whose sum is σ = 9826954368. Its totient is φ = 1130496000.

The previous prime is 3368959991. The next prime is 3368960009. The reversal of 3368960000 is 698633.

It is an interprime number because it is at equal distance from previous prime (3368959991) and next prime (3368960009).

It is a super-2 number, since 2×3368960000² = 22699782963200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (3368960009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71679977 + ... + 71680023.

Almost surely, 2^3368960000 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 3368960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913477184).

3368960000 is an abundant number, since it is smaller than the sum of its proper divisors (6457994368).

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

3368960000 is an frugal number, since it uses more digits than its factorization.

3368960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 3368960000 is about 58042.7428710946. The cubic root of 3368960000 is about 1499.1046508581.

The spelling of 3368960000 in words is "three billion, three hundred sixty-eight million, nine hundred sixty thousand".