345920004 has 96 divisors (see below), whose sum is σ = 976752000. Its totient is φ = 105452928.

The previous prime is 345919999. The next prime is 345920017. The reversal of 345920004 is 400029543.

345920004 is a `hidden beast` number, since 3 + 459 + 200 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 345920004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56602 + ... + 62414.

It is an arithmetic number, because the mean of its divisors is an integer number (10174500).

Almost surely, 2^345920004 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 345920004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488376000).

345920004 is an abundant number, since it is smaller than the sum of its proper divisors (630831996).

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

345920004 is a wasteful number, since it uses less digits than its factorization.

345920004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 345920004 is about 18598.9248076334. The cubic root of 345920004 is about 701.9807869678.

Adding to 345920004 its reverse (400029543), we get a palindrome (745949547).

The spelling of 345920004 in words is "three hundred forty-five million, nine hundred twenty thousand, four".