34386720 has 96 divisors (see below), whose sum is σ = 109952640. Its totient is φ = 9031680.

The previous prime is 34386707. The next prime is 34386739. The reversal of 34386720 is 2768343.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33576 + ... + 34584.

It is an arithmetic number, because the mean of its divisors is an integer number (1145340).

Almost surely, 2^34386720 is an apocalyptic number.

34386720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34386720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54976320).

34386720 is an abundant number, since it is smaller than the sum of its proper divisors (75565920).

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

34386720 is a wasteful number, since it uses less digits than its factorization.

34386720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1090 counting only the distinct ones).

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

The square root of 34386720 is about 5864.0190995596. The cubic root of 34386720 is about 325.1848100759.

The spelling of 34386720 in words is "thirty-four million, three hundred eighty-six thousand, seven hundred twenty".