345673440 has 576 divisors, whose sum is σ = 1489259520. Its totient is φ = 74511360.

The previous prime is 345673421. The next prime is 345673453. The reversal of 345673440 is 44376543.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 345673395 and 345673404.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4868605 + ... + 4868675.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^345673440 is an apocalyptic number.

345673440 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 345673440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744629760).

345673440 is an abundant number, since it is smaller than the sum of its proper divisors (1143586080).

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

345673440 is a wasteful number, since it uses less digits than its factorization.

345673440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 345673440 is about 18592.2951783797. The cubic root of 345673440 is about 701.8139619520.

The spelling of 345673440 in words is "three hundred forty-five million, six hundred seventy-three thousand, four hundred forty".