345400440 has 256 divisors, whose sum is σ = 1337472000. Its totient is φ = 69242880.

The previous prime is 345400379. The next prime is 345400457. The reversal of 345400440 is 44004543.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 345400440.

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 63 ways as a sum of consecutive naturals, for example, 267316 + ... + 268604.

It is an arithmetic number, because the mean of its divisors is an integer number (5224500).

Almost surely, 2^345400440 is an apocalyptic number.

345400440 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 345400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668736000).

345400440 is an abundant number, since it is smaller than the sum of its proper divisors (992071560).

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

345400440 is a wasteful number, since it uses less digits than its factorization.

345400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 345400440 is about 18584.9519773391. The cubic root of 345400440 is about 701.6291577893.

Adding to 345400440 its reverse (44004543), we get a palindrome (389404983).

The spelling of 345400440 in words is "three hundred forty-five million, four hundred thousand, four hundred forty".