1742944320 has 252 divisors, whose sum is σ = 6493442436. Its totient is φ = 428912640.

The previous prime is 1742944303. The next prime is 1742944321. The reversal of 1742944320 is 234492471.

1742944320 is a `hidden beast` number, since 174 + 29 + 443 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 95883264 + 1647061056 = 9792^2 + 40584^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1742944321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 484930 + ... + 488510.

Almost surely, 2^1742944320 is an apocalyptic number.

1742944320 is a gapful number since it is divisible by the number (10) 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 1742944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246721218).

1742944320 is an abundant number, since it is smaller than the sum of its proper divisors (4750498116).

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

1742944320 is a wasteful number, since it uses less digits than its factorization.

1742944320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1742944320 is about 41748.5846466680. The cubic root of 1742944320 is about 1203.4494084837.

The spelling of 1742944320 in words is "one billion, seven hundred forty-two million, nine hundred forty-four thousand, three hundred twenty".