743694336 has 336 divisors, whose sum is σ = 2698869888. Its totient is φ = 191692800.

The previous prime is 743694311. The next prime is 743694337. The reversal of 743694336 is 633496347.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 743694291 and 743694300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (743694337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5676991 + ... + 5677121.

Almost surely, 2^743694336 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 743694336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349434944).

743694336 is an abundant number, since it is smaller than the sum of its proper divisors (1955175552).

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

743694336 is a wasteful number, since it uses less digits than its factorization.

743694336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 743694336 is about 27270.7597253909. The cubic root of 743694336 is about 906.0068709916.

The spelling of 743694336 in words is "seven hundred forty-three million, six hundred ninety-four thousand, three hundred thirty-six".