733974336 has 84 divisors (see below), whose sum is σ = 2107541124. Its totient is φ = 244224000.

The previous prime is 733974323. The next prime is 733974341. The reversal of 733974336 is 633479337.

It can be written as a sum of positive squares in 2 ways, for example, as 164865600 + 569108736 = 12840^2 + 23856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 733974291 and 733974300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 610536 + ... + 611736.

Almost surely, 2^733974336 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 733974336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053770562).

733974336 is an abundant number, since it is smaller than the sum of its proper divisors (1373566788).

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

733974336 is a wasteful number, since it uses less digits than its factorization.

733974336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2267 counting only the distinct ones).

The product of its digits is 857304, while the sum is 45.

The square root of 733974336 is about 27091.9607263852. The cubic root of 733974336 is about 902.0424133985.

The spelling of 733974336 in words is "seven hundred thirty-three million, nine hundred seventy-four thousand, three hundred thirty-six".