345020400 has 180 divisors, whose sum is σ = 1205324640. Its totient is φ = 91392000.

The previous prime is 345020399. The next prime is 345020419. The reversal of 345020400 is 4020543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 860200 + ... + 860600.

It is an arithmetic number, because the mean of its divisors is an integer number (6696248).

Almost surely, 2^345020400 is an apocalyptic number.

345020400 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 345020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602662320).

345020400 is an abundant number, since it is smaller than the sum of its proper divisors (860304240).

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

345020400 is a wasteful number, since it uses less digits than its factorization.

345020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 345020400 is about 18574.7247624292. The cubic root of 345020400 is about 701.3717319435.

Adding to 345020400 its reverse (4020543), we get a palindrome (349040943).

The spelling of 345020400 in words is "three hundred forty-five million, twenty thousand, four hundred".