345420000 has 360 divisors, whose sum is σ = 1304863560. Its totient is φ = 86400000.

The previous prime is 345419993. The next prime is 345420017. The reversal of 345420000 is 24543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3419950 + ... + 3420050.

It is an arithmetic number, because the mean of its divisors is an integer number (3624621).

Almost surely, 2^345420000 is an apocalyptic number.

345420000 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 345420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652431780).

345420000 is an abundant number, since it is smaller than the sum of its proper divisors (959443560).

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

345420000 is a wasteful number, since it uses less digits than its factorization.

345420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 345420000 is about 18585.4782020802. The cubic root of 345420000 is about 701.6424019408.

Adding to 345420000 its reverse (24543), we get a palindrome (345444543).

The spelling of 345420000 in words is "three hundred forty-five million, four hundred twenty thousand".