33780105420 has 96 divisors (see below), whose sum is σ = 99236315136. Its totient is φ = 8574508800.

The previous prime is 33780105419. The next prime is 33780105427. The reversal of 33780105420 is 2450108733.

It is a super-2 number, since 2×33780105420² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33780105427) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35404 + ... + 262323.

It is an arithmetic number, because the mean of its divisors is an integer number (1033711616).

Almost surely, 2^33780105420 is an apocalyptic number.

33780105420 is a gapful number since it is divisible by the number (30) 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 33780105420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49618157568).

33780105420 is an abundant number, since it is smaller than the sum of its proper divisors (65456209716).

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

33780105420 is a wasteful number, since it uses less digits than its factorization.

33780105420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297831 (or 297829 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 33780105420 in words is "thirty-three billion, seven hundred eighty million, one hundred five thousand, four hundred twenty".