345825216 has 84 divisors (see below), whose sum is σ = 1081378584. Its totient is φ = 104793600.

The previous prime is 345825209. The next prime is 345825241. The reversal of 345825216 is 612528543.

It is a super-3 number, since 3×345825216³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20955 + ... + 33626.

Almost surely, 2^345825216 is an apocalyptic number.

345825216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345825216 is an abundant number, since it is smaller than the sum of its proper divisors (735553368).

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

345825216 is a wasteful number, since it uses less digits than its factorization.

345825216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54610 (or 54597 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 345825216 is about 18596.3764212279. The cubic root of 345825216 is about 701.9166628614.

The spelling of 345825216 in words is "three hundred forty-five million, eight hundred twenty-five thousand, two hundred sixteen".