345072744 has 64 divisors (see below), whose sum is σ = 961329600. Its totient is φ = 114689088.

The previous prime is 345072743. The next prime is 345072751. The reversal of 345072744 is 447270543.

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

It is a junction number, because it is equal to n+sod(n) for n = 345072699 and 345072708.

It is not an unprimeable number, because it can be changed into a prime (345072743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78427 + ... + 82709.

It is an arithmetic number, because the mean of its divisors is an integer number (15020775).

Almost surely, 2^345072744 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 345072744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480664800).

345072744 is an abundant number, since it is smaller than the sum of its proper divisors (616256856).

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

345072744 is a wasteful number, since it uses less digits than its factorization.

345072744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 345072744 is about 18576.1337204489. The cubic root of 345072744 is about 701.4071991657.

It can be divided in two parts, 34507274 and 4, that added together give a triangular number (34507278 = T₈₃₀₇).

The spelling of 345072744 in words is "three hundred forty-five million, seventy-two thousand, seven hundred forty-four".