345122400 has 144 divisors (see below), whose sum is σ = 1283917824. Its totient is φ = 78881280.

The previous prime is 345122377. The next prime is 345122419. The reversal of 345122400 is 4221543.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6529 + ... + 27071.

It is an arithmetic number, because the mean of its divisors is an integer number (8916096).

Almost surely, 2^345122400 is an apocalyptic number.

345122400 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 345122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641958912).

345122400 is an abundant number, since it is smaller than the sum of its proper divisors (938795424).

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

345122400 is a wasteful number, since it uses less digits than its factorization.

345122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20573 (or 20560 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 345122400 is about 18577.4702260561. The cubic root of 345122400 is about 701.4408417391.

Adding to 345122400 its reverse (4221543), we get a palindrome (349343943).

The spelling of 345122400 in words is "three hundred forty-five million, one hundred twenty-two thousand, four hundred".