345524400 has 480 divisors, whose sum is σ = 1394910720. Its totient is φ = 80593920.

The previous prime is 345524381. The next prime is 345524429. The reversal of 345524400 is 4425543.

It is a super-2 number, since 2×345524400² = 238774221990720000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3229147 + ... + 3229253.

It is an arithmetic number, because the mean of its divisors is an integer number (2906064).

Almost surely, 2^345524400 is an apocalyptic number.

345524400 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 345524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697455360).

345524400 is an abundant number, since it is smaller than the sum of its proper divisors (1049386320).

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

345524400 is a wasteful number, since it uses less digits than its factorization.

345524400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 345524400 is about 18588.2866343297. The cubic root of 345524400 is about 701.7130831290.

Adding to 345524400 its reverse (4425543), we get a palindrome (349949943).

The spelling of 345524400 in words is "three hundred forty-five million, five hundred twenty-four thousand, four hundred".