34638720 has 64 divisors (see below), whose sum is σ = 110417040. Its totient is φ = 9236480.

The previous prime is 34638683. The next prime is 34638743. The reversal of 34638720 is 2783643.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7101 + ... + 10940.

Almost surely, 2^34638720 is an apocalyptic number.

34638720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34638720 is an abundant number, since it is smaller than the sum of its proper divisors (75778320).

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

34638720 is a wasteful number, since it uses less digits than its factorization.

34638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18063 (or 18051 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 34638720 is about 5885.4668463938. The cubic root of 34638720 is about 325.9772400586.

The spelling of 34638720 in words is "thirty-four million, six hundred thirty-eight thousand, seven hundred twenty".