345197280 has 96 divisors (see below), whose sum is σ = 1093919904. Its totient is φ = 91498496.

The previous prime is 345197273. The next prime is 345197287. The reversal of 345197280 is 82791543.

It is an interprime number because it is at equal distance from previous prime (345197273) and next prime (345197287).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×345197280² = 238322324238796800, which contains 22 as substring.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345197287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80962 + ... + 85118.

It is an arithmetic number, because the mean of its divisors is an integer number (11394999).

Almost surely, 2^345197280 is an apocalyptic number.

345197280 is a gapful number since it is divisible by the number (30) 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 345197280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546959952).

345197280 is an abundant number, since it is smaller than the sum of its proper divisors (748722624).

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

345197280 is a wasteful number, since it uses less digits than its factorization.

345197280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 345197280 is about 18579.4854611208. The cubic root of 345197280 is about 701.4915677926.

The spelling of 345197280 in words is "three hundred forty-five million, one hundred ninety-seven thousand, two hundred eighty".