345025560 has 128 divisors (see below), whose sum is σ = 1188691200. Its totient is φ = 79234560.

The previous prime is 345025559. The next prime is 345025561. The reversal of 345025560 is 65520543.

It is an interprime number because it is at equal distance from previous prime (345025559) and next prime (345025561).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345025561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18202 + ... + 31958.

It is an arithmetic number, because the mean of its divisors is an integer number (9286650).

Almost surely, 2^345025560 is an apocalyptic number.

345025560 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 345025560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594345600).

345025560 is an abundant number, since it is smaller than the sum of its proper divisors (843665640).

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

345025560 is a wasteful number, since it uses less digits than its factorization.

345025560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13801 (or 13797 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 345025560 is about 18574.8636603341. The cubic root of 345025560 is about 701.3752284132.

The spelling of 345025560 in words is "three hundred forty-five million, twenty-five thousand, five hundred sixty".