34148080 has 80 divisors (see below), whose sum is σ = 84369600. Its totient is φ = 12830720.

The previous prime is 34148071. The next prime is 34148083. The reversal of 34148080 is 8084143.

34148080 = 583² + 584² + ... + 669².

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34148083) 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, 94941 + ... + 95299.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 2^34148080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34148080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42184800).

34148080 is an abundant number, since it is smaller than the sum of its proper divisors (50221520).

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

34148080 is a wasteful number, since it uses less digits than its factorization.

34148080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 34148080 is about 5843.6358545002. The cubic root of 34148080 is about 324.4308143951.

The spelling of 34148080 in words is "thirty-four million, one hundred forty-eight thousand, eighty".