345602400 has 576 divisors, whose sum is σ = 1417409280. Its totient is φ = 71884800.

The previous prime is 345602399. The next prime is 345602417. The reversal of 345602400 is 4206543.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 6520774 + ... + 6520826.

It is an arithmetic number, because the mean of its divisors is an integer number (2460780).

Almost surely, 2^345602400 is an apocalyptic number.

345602400 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 345602400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708704640).

345602400 is an abundant number, since it is smaller than the sum of its proper divisors (1071806880).

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

345602400 is a wasteful number, since it uses less digits than its factorization.

345602400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 345602400 is about 18590.3846114060. The cubic root of 345602400 is about 701.7658816216.

Adding to 345602400 its reverse (4206543), we get a palindrome (349808943).

The spelling of 345602400 in words is "three hundred forty-five million, six hundred two thousand, four hundred".