33819034104 has 96 divisors (see below), whose sum is σ = 95879946240. Its totient is φ = 10755662400.

The previous prime is 33819034103. The next prime is 33819034127. The reversal of 33819034104 is 40143091833.

33819034104 is a `hidden beast` number, since 338 + 190 + 34 + 104 = 666.

It is a super-2 number, since 2×33819034104² (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 not an unprimeable number, because it can be changed into a prime (33819034103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51769 + ... + 265175.

It is an arithmetic number, because the mean of its divisors is an integer number (998749440).

Almost surely, 2^33819034104 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 33819034104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47939973120).

33819034104 is an abundant number, since it is smaller than the sum of its proper divisors (62060912136).

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

33819034104 is a wasteful number, since it uses less digits than its factorization.

33819034104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213521 (or 213514 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 33819034104 in words is "thirty-three billion, eight hundred nineteen million, thirty-four thousand, one hundred four".