731742336 has 320 divisors, whose sum is σ = 2410392600. Its totient is φ = 218972160.

The previous prime is 731742311. The next prime is 731742343. The reversal of 731742336 is 633247137.

731742336 is a `hidden beast` number, since 7 + 317 + 4 + 2 + 336 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 177422400 + 554319936 = 13320^2 + 23544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (63504) is a multiple of the sum of its prime divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 731742336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8221780 + ... + 8221868.

Almost surely, 2^731742336 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 731742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205196300).

731742336 is an abundant number, since it is smaller than the sum of its proper divisors (1678650264).

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

731742336 is a wasteful number, since it uses less digits than its factorization.

731742336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 731742336 is about 27050.7363300891. The cubic root of 731742336 is about 901.1271211861.

The spelling of 731742336 in words is "seven hundred thirty-one million, seven hundred forty-two thousand, three hundred thirty-six".