345552000 has 256 divisors, whose sum is σ = 1199128320. Its totient is φ = 87859200.

The previous prime is 345551971. The next prime is 345552001. The reversal of 345552000 is 255543.

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

It is not an unprimeable number, because it can be changed into a prime (345552001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103844 + ... + 1104156.

It is an arithmetic number, because the mean of its divisors is an integer number (4684095).

Almost surely, 2^345552000 is an apocalyptic number.

345552000 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 345552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599564160).

345552000 is an abundant number, since it is smaller than the sum of its proper divisors (853576320).

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

345552000 is a wasteful number, since it uses less digits than its factorization.

345552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 345552000 is about 18589.0290225176. The cubic root of 345552000 is about 701.7317665809.

It can be divided in two parts, 3455 and 52000, that added together give a palindrome (55455).

The spelling of 345552000 in words is "three hundred forty-five million, five hundred fifty-two thousand".