34641464 has 64 divisors (see below), whose sum is σ = 77293440. Its totient is φ = 14348160.

The previous prime is 34641463. The next prime is 34641487. The reversal of 34641464 is 46414643.

It is a self number, because there is not a number n which added to its sum of digits gives 34641464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34641463) 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, 122267 + ... + 122549.

It is an arithmetic number, because the mean of its divisors is an integer number (1207710).

Almost surely, 2^34641464 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 34641464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38646720).

34641464 is an abundant number, since it is smaller than the sum of its proper divisors (42651976).

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

34641464 is a wasteful number, since it uses less digits than its factorization.

34641464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 416 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 34641464 is about 5885.6999583737. The cubic root of 34641464 is about 325.9858475545.

The spelling of 34641464 in words is "thirty-four million, six hundred forty-one thousand, four hundred sixty-four".