34406880 has 96 divisors (see below), whose sum is σ = 110968704. Its totient is φ = 8956416.

The previous prime is 34406819. The next prime is 34406881. The reversal of 34406880 is 8860443.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34406881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19807 + ... + 21473.

It is an arithmetic number, because the mean of its divisors is an integer number (1155924).

Almost surely, 2^34406880 is an apocalyptic number.

34406880 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 34406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55484352).

34406880 is an abundant number, since it is smaller than the sum of its proper divisors (76561824).

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

34406880 is a wasteful number, since it uses less digits than its factorization.

34406880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 34406880 is about 5865.7378052552. The cubic root of 34406880 is about 325.2483466683.

The spelling of 34406880 in words is "thirty-four million, four hundred six thousand, eight hundred eighty".