744069312 has 252 divisors, whose sum is σ = 2545406136. Its totient is φ = 207083520.

The previous prime is 744069307. The next prime is 744069383. The reversal of 744069312 is 213960447.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1156863 + ... + 1157505.

It is an arithmetic number, because the mean of its divisors is an integer number (10100818).

Almost surely, 2^744069312 is an apocalyptic number.

744069312 is a gapful number since it is divisible by the number (72) 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 744069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272703068).

744069312 is an abundant number, since it is smaller than the sum of its proper divisors (1801336824).

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

744069312 is a wasteful number, since it uses less digits than its factorization.

744069312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 744069312 is about 27277.6339149861. The cubic root of 744069312 is about 906.1591171200.

The spelling of 744069312 in words is "seven hundred forty-four million, sixty-nine thousand, three hundred twelve".