34454880 has 144 divisors (see below), whose sum is σ = 119587104. Its totient is φ = 9031680.

The previous prime is 34454863. The next prime is 34454921. The reversal of 34454880 is 8845443.

34454880 is a `hidden beast` number, since 34 + 4 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102072 + ... + 102408.

It is an arithmetic number, because the mean of its divisors is an integer number (830466).

Almost surely, 2^34454880 is an apocalyptic number.

34454880 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 34454880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59793552).

34454880 is an abundant number, since it is smaller than the sum of its proper divisors (85132224).

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

34454880 is a wasteful number, since it uses less digits than its factorization.

34454880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 34454880 is about 5869.8279361494. The cubic root of 34454880 is about 325.3995244401.

The spelling of 34454880 in words is "thirty-four million, four hundred fifty-four thousand, eight hundred eighty".