34004880 has 320 divisors, whose sum is σ = 144990720. Its totient is φ = 7133184.

The previous prime is 34004869. The next prime is 34004891. The reversal of 34004880 is 8840043.

It is an interprime number because it is at equal distance from previous prime (34004869) and next prime (34004891).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196474 + ... + 196646.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 2^34004880 is an apocalyptic number.

34004880 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 34004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72495360).

34004880 is an abundant number, since it is smaller than the sum of its proper divisors (110985840).

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

34004880 is a wasteful number, since it uses less digits than its factorization.

34004880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34004880 is about 5831.3703363789. The cubic root of 34004880 is about 323.9766787055.

The spelling of 34004880 in words is "thirty-four million, four thousand, eight hundred eighty".