742345344 has 384 divisors, whose sum is σ = 2508710400. Its totient is φ = 215654400.

The previous prime is 742345343. The next prime is 742345361. The reversal of 742345344 is 443543247.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (161280) is a multiple of the sum of its prime divisors (90).

It is a junction number, because it is equal to n+sod(n) for n = 742345299 and 742345308.

It is not an unprimeable number, because it can be changed into a prime (742345343) 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 47 ways as a sum of consecutive naturals, for example, 18105964 + ... + 18106004.

It is an arithmetic number, because the mean of its divisors is an integer number (6533100).

Almost surely, 2^742345344 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 742345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254355200).

742345344 is an abundant number, since it is smaller than the sum of its proper divisors (1766365056).

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

742345344 is a wasteful number, since it uses less digits than its factorization.

742345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its digits is 161280, while the sum is 36.

The square root of 742345344 is about 27246.0151948868. The cubic root of 742345344 is about 905.4587355142.

The spelling of 742345344 in words is "seven hundred forty-two million, three hundred forty-five thousand, three hundred forty-four".