33420040344 has 128 divisors (see below), whose sum is σ = 93553056000. Its totient is φ = 11053953792.

The previous prime is 33420040309. The next prime is 33420040351. The reversal of 33420040344 is 44304002433.

It is a super-2 number, since 2×33420040344² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35067772 + ... + 35068724.

It is an arithmetic number, because the mean of its divisors is an integer number (730883250).

Almost surely, 2^33420040344 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 33420040344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46776528000).

33420040344 is an abundant number, since it is smaller than the sum of its proper divisors (60133015656).

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

33420040344 is a wasteful number, since it uses less digits than its factorization.

33420040344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 33420040344 its reverse (44304002433), we get a palindrome (77724042777).

It can be divided in two parts, 334200 and 40344, that added together give a square (374544 = 612²).

The spelling of 33420040344 in words is "thirty-three billion, four hundred twenty million, forty thousand, three hundred forty-four".