34380720 has 160 divisors (see below), whose sum is σ = 129277440. Its totient is φ = 8328960.

The previous prime is 34380719. The next prime is 34380727. The reversal of 34380720 is 2708343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34380727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23037 + ... + 24483.

It is an arithmetic number, because the mean of its divisors is an integer number (807984).

Almost surely, 2^34380720 is an apocalyptic number.

34380720 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 34380720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64638720).

34380720 is an abundant number, since it is smaller than the sum of its proper divisors (94896720).

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

34380720 is a wasteful number, since it uses less digits than its factorization.

34380720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34380720 is about 5863.5074827274. The cubic root of 34380720 is about 325.1658955807.

The spelling of 34380720 in words is "thirty-four million, three hundred eighty thousand, seven hundred twenty".