345459840 has 192 divisors, whose sum is σ = 1211172480. Its totient is φ = 83691520.

The previous prime is 345459799. The next prime is 345459853. The reversal of 345459840 is 48954543.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 345459792 and 345459801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231577 + ... + 233063.

It is an arithmetic number, because the mean of its divisors is an integer number (6308190).

Almost surely, 2^345459840 is an apocalyptic number.

345459840 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 345459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605586240).

345459840 is an abundant number, since it is smaller than the sum of its proper divisors (865712640).

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

345459840 is a wasteful number, since it uses less digits than its factorization.

345459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 345459840 is about 18586.5499757217. The cubic root of 345459840 is about 701.6693762124.

The spelling of 345459840 in words is "three hundred forty-five million, four hundred fifty-nine thousand, eight hundred forty".