34641000 has 128 divisors (see below), whose sum is σ = 120182400. Its totient is φ = 9230400.

The previous prime is 34640989. The next prime is 34641007. The reversal of 34641000 is 14643.

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

It is not an unprimeable number, because it can be changed into a prime (34641007) 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, 26359 + ... + 27641.

It is an arithmetic number, because the mean of its divisors is an integer number (938925).

Almost surely, 2^34641000 is an apocalyptic number.

34641000 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 34641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60091200).

34641000 is an abundant number, since it is smaller than the sum of its proper divisors (85541400).

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

34641000 is a wasteful number, since it uses less digits than its factorization.

34641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34641000 is about 5885.6605406700. The cubic root of 34641000 is about 325.9843920915.

Adding to 34641000 its reverse (14643), we get a palindrome (34655643).

The spelling of 34641000 in words is "thirty-four million, six hundred forty-one thousand".