342468000 has 480 divisors, whose sum is σ = 1446052608. Its totient is φ = 77760000.

The previous prime is 342467977. The next prime is 342468001. The reversal of 342468000 is 864243.

342468000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (342468001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2267925 + ... + 2268075.

Almost surely, 2^342468000 is an apocalyptic number.

342468000 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 342468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723026304).

342468000 is an abundant number, since it is smaller than the sum of its proper divisors (1103584608).

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

342468000 is a wasteful number, since it uses less digits than its factorization.

342468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 342468000 is about 18505.8909539638. The cubic root of 342468000 is about 699.6379079695.

The spelling of 342468000 in words is "three hundred forty-two million, four hundred sixty-eight thousand".