34542000 has 240 divisors, whose sum is σ = 128250720. Its totient is φ = 8640000.

The previous prime is 34541999. The next prime is 34542007. The reversal of 34542000 is 24543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34542007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341950 + ... + 342050.

It is an arithmetic number, because the mean of its divisors is an integer number (534378).

Almost surely, 2^34542000 is an apocalyptic number.

34542000 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 34542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64125360).

34542000 is an abundant number, since it is smaller than the sum of its proper divisors (93708720).

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

34542000 is a wasteful number, since it uses less digits than its factorization.

34542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

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

The square root of 34542000 is about 5877.2442521985. The cubic root of 34542000 is about 325.6735538038.

Adding to 34542000 its reverse (24543), we get a palindrome (34566543).

The spelling of 34542000 in words is "thirty-four million, five hundred forty-two thousand".