34820640 has 72 divisors (see below), whose sum is σ = 118830348. Its totient is φ = 9285120.

The previous prime is 34820623. The next prime is 34820647. The reversal of 34820640 is 4602843.

It can be written as a sum of positive squares in 2 ways, for example, as 34715664 + 104976 = 5892^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (34820647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10651 + ... + 13530.

Almost surely, 2^34820640 is an apocalyptic number.

34820640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34820640 is an abundant number, since it is smaller than the sum of its proper divisors (84009708).

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

34820640 is a wasteful number, since it uses less digits than its factorization.

34820640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24202 (or 24191 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34820640 is about 5900.9016260229. The cubic root of 34820640 is about 326.5469133911.

The spelling of 34820640 in words is "thirty-four million, eight hundred twenty thousand, six hundred forty".