744034672 has 40 divisors (see below), whose sum is σ = 1494324000. Its totient is φ = 358455552.

The previous prime is 744034651. The next prime is 744034679. The reversal of 744034672 is 276430447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (744034679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276598 + ... + 279274.

It is an arithmetic number, because the mean of its divisors is an integer number (37358100).

Almost surely, 2^744034672 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 744034672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747162000).

744034672 is an abundant number, since it is smaller than the sum of its proper divisors (750289328).

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

744034672 is a wasteful number, since it uses less digits than its factorization.

744034672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 37.

The square root of 744034672 is about 27276.9989551637. The cubic root of 744034672 is about 906.1450548821.

The spelling of 744034672 in words is "seven hundred forty-four million, thirty-four thousand, six hundred seventy-two".