345681000 has 512 divisors, whose sum is σ = 1437696000. Its totient is φ = 75168000.

The previous prime is 345680989. The next prime is 345681019. The reversal of 345681000 is 186543.

It is a super-2 number, since 2×345681000² = 238990707522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5858971 + ... + 5859029.

It is an arithmetic number, because the mean of its divisors is an integer number (2808000).

Almost surely, 2^345681000 is an apocalyptic number.

345681000 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 345681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718848000).

345681000 is an abundant number, since it is smaller than the sum of its proper divisors (1092015000).

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

345681000 is a wasteful number, since it uses less digits than its factorization.

345681000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 345681000 is about 18592.4984872932. The cubic root of 345681000 is about 701.8190782210.

The spelling of 345681000 in words is "three hundred forty-five million, six hundred eighty-one thousand".