33814230840 has 1280 divisors, whose sum is σ = 140507136000. Its totient is φ = 7211151360.

The previous prime is 33814230839. The next prime is 33814230889. The reversal of 33814230840 is 4803241833.

It is a happy number.

33814230840 is a `hidden beast` number, since 3 + 381 + 4 + 230 + 8 + 40 = 666.

It is a super-2 number, since 2×33814230840² (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 junction number, because it is equal to n+sod(n) for n = 33814230795 and 33814230804.

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 319 ways as a sum of consecutive naturals, for example, 719451697 + ... + 719451743.

It is an arithmetic number, because the mean of its divisors is an integer number (109771200).

Almost surely, 2^33814230840 is an apocalyptic number.

33814230840 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 33814230840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70253568000).

33814230840 is an abundant number, since it is smaller than the sum of its proper divisors (106692905160).

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

33814230840 is a wasteful number, since it uses less digits than its factorization.

33814230840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 33814230840 in words is "thirty-three billion, eight hundred fourteen million, two hundred thirty thousand, eight hundred forty".