345524480 has 144 divisors (see below), whose sum is σ = 966403200. Its totient is φ = 118315008.

The previous prime is 345524477. The next prime is 345524483. The reversal of 345524480 is 84425543.

345524480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (345524477) and next prime (345524483).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 345524480.

It is not an unprimeable number, because it can be changed into a prime (345524483) 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, 438647 + ... + 439433.

Almost surely, 2^345524480 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 345524480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483201600).

345524480 is an abundant number, since it is smaller than the sum of its proper divisors (620878720).

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

345524480 is an frugal number, since it uses more digits than its factorization.

345524480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The square root of 345524480 is about 18588.2887862224. The cubic root of 345524480 is about 701.7131372854.

The spelling of 345524480 in words is "three hundred forty-five million, five hundred twenty-four thousand, four hundred eighty".