345444000 has 192 divisors, whose sum is σ = 1235025792. Its totient is φ = 83712000.

The previous prime is 345443963. The next prime is 345444007. The reversal of 345444000 is 444543.

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 (345444007) 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, 130692 + ... + 133308.

It is an arithmetic number, because the mean of its divisors is an integer number (6432426).

Almost surely, 2^345444000 is an apocalyptic number.

345444000 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 345444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617512896).

345444000 is an abundant number, since it is smaller than the sum of its proper divisors (889581792).

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

345444000 is a wasteful number, since it uses less digits than its factorization.

345444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 345444000 is about 18586.1238562536. The cubic root of 345444000 is about 701.6586517504.

Adding to 345444000 its reverse (444543), we get a palindrome (345888543).

The spelling of 345444000 in words is "three hundred forty-five million, four hundred forty-four thousand".