33799077312 has 896 divisors, whose sum is σ = 127128422400. Its totient is φ = 7803371520.

The previous prime is 33799077293. The next prime is 33799077313. The reversal of 33799077312 is 21377099733.

It is a super-2 number, since 2×33799077312² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33799077313) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 348444048 + ... + 348444144.

It is an arithmetic number, because the mean of its divisors is an integer number (141884400).

Almost surely, 2^33799077312 is an apocalyptic number.

33799077312 is a gapful number since it is divisible by the number (32) 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 33799077312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63564211200).

33799077312 is an abundant number, since it is smaller than the sum of its proper divisors (93329345088).

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

33799077312 is a wasteful number, since it uses less digits than its factorization.

33799077312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 51.

The spelling of 33799077312 in words is "thirty-three billion, seven hundred ninety-nine million, seventy-seven thousand, three hundred twelve".