33349133376 has 672 divisors, whose sum is σ = 117053733888. Its totient is φ = 9316270080.

The previous prime is 33349133371. The next prime is 33349133417. The reversal of 33349133376 is 67333194333.

It is a super-2 number, since 2×33349133376² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33349133371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106546596 + ... + 106546908.

It is an arithmetic number, because the mean of its divisors is an integer number (174187104).

Almost surely, 2^33349133376 is an apocalyptic number.

33349133376 is a gapful number since it is divisible by the number (36) 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 33349133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58526866944).

33349133376 is an abundant number, since it is smaller than the sum of its proper divisors (83704600512).

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

33349133376 is a wasteful number, since it uses less digits than its factorization.

33349133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 379 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 45.

The spelling of 33349133376 in words is "thirty-three billion, three hundred forty-nine million, one hundred thirty-three thousand, three hundred seventy-six".