345419424 has 288 divisors, whose sum is σ = 1206576000. Its totient is φ = 95800320.

The previous prime is 345419419. The next prime is 345419441. The reversal of 345419424 is 424914543.

345419424 is a `hidden beast` number, since 3 + 4 + 541 + 94 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 1735677 + ... + 1735875.

It is an arithmetic number, because the mean of its divisors is an integer number (4189500).

Almost surely, 2^345419424 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 345419424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288000).

345419424 is an abundant number, since it is smaller than the sum of its proper divisors (861156576).

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

345419424 is a wasteful number, since it uses less digits than its factorization.

345419424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 345419424 is about 18585.4627061045. The cubic root of 345419424 is about 701.6420119361.

The spelling of 345419424 in words is "three hundred forty-five million, four hundred nineteen thousand, four hundred twenty-four".