34641090 has 72 divisors (see below), whose sum is σ = 99030204. Its totient is φ = 8395200.

The previous prime is 34641067. The next prime is 34641091. The reversal of 34641090 is 9014643.

It can be written as a sum of positive squares in 2 ways, for example, as 31102929 + 3538161 = 5577^2 + 1881^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34641091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9300 + ... + 12480.

Almost surely, 2^34641090 is an apocalyptic number.

34641090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34641090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49515102).

34641090 is an abundant number, since it is smaller than the sum of its proper divisors (64389114).

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

34641090 is a wasteful number, since it uses less digits than its factorization.

34641090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34641090 is about 5885.6681863659. The cubic root of 34641090 is about 325.9846744022.

It can be divided in two parts, 3464 and 1090, that added together give a palindrome (4554).

The spelling of 34641090 in words is "thirty-four million, six hundred forty-one thousand, ninety".