345331440 has 120 divisors (see below), whose sum is σ = 1164702240. Its totient is φ = 91694592.

The previous prime is 345331429. The next prime is 345331447. The reversal of 345331440 is 44133543.

345331440 is a `hidden beast` number, since 345 + 3 + 314 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345331447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192789 + ... + 194571.

It is an arithmetic number, because the mean of its divisors is an integer number (9705852).

Almost surely, 2^345331440 is an apocalyptic number.

345331440 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 345331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582351120).

345331440 is an abundant number, since it is smaller than the sum of its proper divisors (819370800).

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

345331440 is a wasteful number, since it uses less digits than its factorization.

345331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 345331440 is about 18583.0955440691. The cubic root of 345331440 is about 701.5824336295.

Adding to 345331440 its reverse (44133543), we get a palindrome (389464983).

The spelling of 345331440 in words is "three hundred forty-five million, three hundred thirty-one thousand, four hundred forty".