743442336 has 288 divisors, whose sum is σ = 2740832640. Its totient is φ = 185628672.

The previous prime is 743442331. The next prime is 743442373. The reversal of 743442336 is 633244347.

It is a tau number, because it is divible by the number of its divisors (288).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 743442336.

It is not an unprimeable number, because it can be changed into a prime (743442331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497206 + ... + 498698.

It is an arithmetic number, because the mean of its divisors is an integer number (9516780).

Almost surely, 2^743442336 is an apocalyptic number.

743442336 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 743442336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370416320).

743442336 is an abundant number, since it is smaller than the sum of its proper divisors (1997390304).

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

743442336 is a wasteful number, since it uses less digits than its factorization.

743442336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1537 counting only the distinct ones).

The product of its digits is 145152, while the sum is 36.

The square root of 743442336 is about 27266.1390005993. The cubic root of 743442336 is about 905.9045262901.

It can be divided in two parts, 7434 and 42336, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 743442336 in words is "seven hundred forty-three million, four hundred forty-two thousand, three hundred thirty-six".