34816464 has 30 divisors (see below), whose sum is σ = 97438146. Its totient is φ = 11605440.

The previous prime is 34816447. The next prime is 34816469. The reversal of 34816464 is 46461843.

34816464 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 646 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34574400 + 242064 = 5880^2 + 492^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34816469) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 120747 + ... + 121034.

Almost surely, 2^34816464 is an apocalyptic number.

It is an amenable number.

34816464 is an abundant number, since it is smaller than the sum of its proper divisors (62621682).

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

34816464 is a wasteful number, since it uses less digits than its factorization.

34816464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241795 (or 241786 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 34816464 is about 5900.5477711819. The cubic root of 34816464 is about 326.5338587352.

The spelling of 34816464 in words is "thirty-four million, eight hundred sixteen thousand, four hundred sixty-four".