34201000 has 64 divisors (see below), whose sum is σ = 83566080. Its totient is φ = 13076800.

The previous prime is 34200997. The next prime is 34201001. The reversal of 34201000 is 10243.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (34201001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22257 + ... + 23743.

It is an arithmetic number, because the mean of its divisors is an integer number (1305720).

Almost surely, 2^34201000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783040).

34201000 is an abundant number, since it is smaller than the sum of its proper divisors (49365080).

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

34201000 is a wasteful number, since it uses less digits than its factorization.

34201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 34201000 is about 5848.1621044564. The cubic root of 34201000 is about 324.5983203216.

Adding to 34201000 its reverse (10243), we get a palindrome (34211243).

The spelling of 34201000 in words is "thirty-four million, two hundred one thousand".