345032400 has 240 divisors, whose sum is σ = 1197790400. Its totient is φ = 84602880.

The previous prime is 345032393. The next prime is 345032417. The reversal of 345032400 is 4230543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 843396 + ... + 843804.

Almost surely, 2^345032400 is an apocalyptic number.

345032400 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 345032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598895200).

345032400 is an abundant number, since it is smaller than the sum of its proper divisors (852758000).

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

345032400 is a wasteful number, since it uses less digits than its factorization.

345032400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 345032400 is about 18575.0477792118. The cubic root of 345032400 is about 701.3798632146.

Adding to 345032400 its reverse (4230543), we get a palindrome (349262943).

The spelling of 345032400 in words is "three hundred forty-five million, thirty-two thousand, four hundred".