345561216 has 512 divisors, whose sum is σ = 1316044800. Its totient is φ = 77414400.

The previous prime is 345561199. The next prime is 345561217. The reversal of 345561216 is 612165543.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (21600) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345561217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11147121 + ... + 11147151.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2^345561216 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 345561216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658022400).

345561216 is an abundant number, since it is smaller than the sum of its proper divisors (970483584).

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

345561216 is a wasteful number, since it uses less digits than its factorization.

345561216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 345561216 is about 18589.2769090140. The cubic root of 345561216 is about 701.7380050076.

The spelling of 345561216 in words is "three hundred forty-five million, five hundred sixty-one thousand, two hundred sixteen".