34010880 has 144 divisors (see below), whose sum is σ = 115232544. Its totient is φ = 8519680.

The previous prime is 34010869. The next prime is 34010887. The reversal of 34010880 is 8801043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34010880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010887) 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, 65020 + ... + 65540.

It is an arithmetic number, because the mean of its divisors is an integer number (800226).

Almost surely, 2^34010880 is an apocalyptic number.

34010880 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 34010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57616272).

34010880 is an abundant number, since it is smaller than the sum of its proper divisors (81221664).

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

34010880 is a wasteful number, since it uses less digits than its factorization.

34010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 34010880 is about 5831.8847725242. The cubic root of 34010880 is about 323.9957323017.

The spelling of 34010880 in words is "thirty-four million, ten thousand, eight hundred eighty".