744383136 has 96 divisors (see below), whose sum is σ = 2310215040. Its totient is φ = 205341696.

The previous prime is 744383113. The next prime is 744383137. The reversal of 744383136 is 631383447.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×744383136² = 1108212506322388992, which contains 22 as substring.

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 = 744383094 and 744383103.

It is not an unprimeable number, because it can be changed into a prime (744383137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390 + ... + 38586.

It is an arithmetic number, because the mean of its divisors is an integer number (24064740).

Almost surely, 2^744383136 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 744383136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155107520).

744383136 is an abundant number, since it is smaller than the sum of its proper divisors (1565831904).

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

744383136 is a wasteful number, since it uses less digits than its factorization.

744383136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38246 (or 38238 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 744383136 is about 27283.3857136536. The cubic root of 744383136 is about 906.2864952659.

The spelling of 744383136 in words is "seven hundred forty-four million, three hundred eighty-three thousand, one hundred thirty-six".