345917440 has 192 divisors, whose sum is σ = 941129280. Its totient is φ = 120913920.

The previous prime is 345917417. The next prime is 345917441. The reversal of 345917440 is 44719543.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 345917440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345917441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4167639 + ... + 4167721.

It is an arithmetic number, because the mean of its divisors is an integer number (4901715).

Almost surely, 2^345917440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

345917440 is an abundant number, since it is smaller than the sum of its proper divisors (595211840).

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

345917440 is a wasteful number, since it uses less digits than its factorization.

345917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 345917440 is about 18598.8558787900. The cubic root of 345917440 is about 701.9790525753.

The spelling of 345917440 in words is "three hundred forty-five million, nine hundred seventeen thousand, four hundred forty".