33678228960 has 288 divisors, whose sum is σ = 120913884000. Its totient is φ = 8523583488.

The previous prime is 33678228949. The next prime is 33678228971. The reversal of 33678228960 is 6982287633.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33678228949) and next prime (33678228971).

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

It is a super-2 number, since 2×33678228960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33678228897 and 33678228906.

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, 2457006 + ... + 2470674.

It is an arithmetic number, because the mean of its divisors is an integer number (419839875).

Almost surely, 2^33678228960 is an apocalyptic number.

33678228960 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 33678228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60456942000).

33678228960 is an abundant number, since it is smaller than the sum of its proper divisors (87235655040).

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

33678228960 is a wasteful number, since it uses less digits than its factorization.

33678228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13778 (or 13767 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 33678228960 in words is "thirty-three billion, six hundred seventy-eight million, two hundred twenty-eight thousand, nine hundred sixty".