33744220416 has 243 divisors, whose sum is σ = 100739919189. Its totient is φ = 10863046656.

The previous prime is 33744220399. The next prime is 33744220451. The reversal of 33744220416 is 61402244733.

The square root of 33744220416 is 183696.

It is a perfect power (a square), and thus also a powerful number.

33744220416 is a `hidden beast` number, since 3 + 3 + 7 + 442 + 204 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6479606016 + 27264614400 = 80496^2 + 165120^2 .

It is a super-2 number, since 2×33744220416² (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 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 26 ways as a sum of consecutive naturals, for example, 379148500 + ... + 379148588.

Almost surely, 2^33744220416 is an apocalyptic number.

33744220416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

33744220416 is the 183696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33744220416

33744220416 is an abundant number, since it is smaller than the sum of its proper divisors (66995698773).

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

33744220416 is an frugal number, since it uses more digits than its factorization.

33744220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Multiplying 33744220416 by its sum of digits (36), we get a square (1214791934976 = 1102176²).

33744220416 divided by its sum of digits (36) gives a square (937339456 = 30616²).

The spelling of 33744220416 in words is "thirty-three billion, seven hundred forty-four million, two hundred twenty thousand, four hundred sixteen".