33804800352 has 72 divisors (see below), whose sum is σ = 96153744960. Its totient is φ = 11265765120.

The previous prime is 33804800317. The next prime is 33804800363. The reversal of 33804800352 is 25300840833.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33804800352² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1657674 + ... + 1677942.

It is an arithmetic number, because the mean of its divisors is an integer number (1335468680).

Almost surely, 2^33804800352 is an apocalyptic number.

33804800352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33804800352 is an abundant number, since it is smaller than the sum of its proper divisors (62348944608).

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

33804800352 is a wasteful number, since it uses less digits than its factorization.

33804800352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26076 (or 26065 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 33804800352 in words is "thirty-three billion, eight hundred four million, eight hundred thousand, three hundred fifty-two".