33034397770332 has 576 divisors, whose sum is σ = 106070149785600. Its totient is φ = 8839617454080.

The previous prime is 33034397770277. The next prime is 33034397770373. The reversal of 33034397770332 is 23307779343033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14444422893 + ... + 14444425179.

It is an arithmetic number, because the mean of its divisors is an integer number (184149565600).

Almost surely, 2^{33034397770332} 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 33034397770332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53035074892800).

33034397770332 is an abundant number, since it is smaller than the sum of its proper divisors (73035752015268).

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

33034397770332 is a wasteful number, since it uses less digits than its factorization.

33034397770332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 18003384, while the sum is 54.

The spelling of 33034397770332 in words is "thirty-three trillion, thirty-four billion, three hundred ninety-seven million, seven hundred seventy thousand, three hundred thirty-two".