345503340 has 384 divisors, whose sum is σ = 1354752000. Its totient is φ = 71165952.

The previous prime is 345503297. The next prime is 345503357. The reversal of 345503340 is 43305543.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3882016 + ... + 3882104.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2^345503340 is an apocalyptic number.

345503340 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 345503340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677376000).

345503340 is an abundant number, since it is smaller than the sum of its proper divisors (1009248660).

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

345503340 is a wasteful number, since it uses less digits than its factorization.

345503340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 345503340 is about 18587.7201399203. The cubic root of 345503340 is about 701.6988261737.

Adding to 345503340 its reverse (43305543), we get a palindrome (388808883).

The spelling of 345503340 in words is "three hundred forty-five million, five hundred three thousand, three hundred forty".