345043072 has 64 divisors (see below), whose sum is σ = 753494400. Its totient is φ = 156083200.

The previous prime is 345043063. The next prime is 345043081. The reversal of 345043072 is 270340543.

It is an interprime number because it is at equal distance from previous prime (345043063) and next prime (345043081).

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 345043072.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378297 + ... + 379207.

It is an arithmetic number, because the mean of its divisors is an integer number (11773350).

Almost surely, 2^345043072 is an apocalyptic number.

345043072 is a gapful number since it is divisible by the number (32) 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 345043072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376747200).

345043072 is an abundant number, since it is smaller than the sum of its proper divisors (408451328).

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

345043072 is a wasteful number, since it uses less digits than its factorization.

345043072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 345043072 is about 18575.3350440847. The cubic root of 345043072 is about 701.3870944666.

The spelling of 345043072 in words is "three hundred forty-five million, forty-three thousand, seventy-two".